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Finding the Fourth Proportional to 9,707.92, 13,394.63 and 7,050.71

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Solution

The fourth proportional to 9,707.92, 13,394.63 and 7,050.71 is: 9,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.92 : 13,394.63 = 7,050.71 : x
  2. Step 2: Convert to fraction form
    9,707.92/13,394.63 = 7,050.71/x
  3. Step 3: Cross multiply
    9,707.92x = 13,394.63 × 7,050.71
  4. Step 4: Simplify right side
    9,707.92x = 94,441,702.80
  5. Step 5: Solve for x
    x = 94,441,702.80/9,707.92
  6. Step 6: Final answer
    x = 9,728.32

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.