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Finding the Fourth Proportional to 9,798.62, 13,521.53 and 5,817.20

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Solution

The fourth proportional to 9,798.62, 13,521.53 and 5,817.20 is: 8,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.62 : 13,521.53 = 5,817.20 : x
  2. Step 2: Convert to fraction form
    9,798.62/13,521.53 = 5,817.20/x
  3. Step 3: Cross multiply
    9,798.62x = 13,521.53 × 5,817.20
  4. Step 4: Simplify right side
    9,798.62x = 78,657,391.25
  5. Step 5: Solve for x
    x = 78,657,391.25/9,798.62
  6. Step 6: Final answer
    x = 8,027.40

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Half scale
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Double scale
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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.