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Finding the Fourth Proportional to 9,668.54, 13,328.48 and 6,827.06

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Solution

The fourth proportional to 9,668.54, 13,328.48 and 6,827.06 is: 9,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.54 : 13,328.48 = 6,827.06 : x
  2. Step 2: Convert to fraction form
    9,668.54/13,328.48 = 6,827.06/x
  3. Step 3: Cross multiply
    9,668.54x = 13,328.48 × 6,827.06
  4. Step 4: Simplify right side
    9,668.54x = 90,994,332.67
  5. Step 5: Solve for x
    x = 90,994,332.67/9,668.54
  6. Step 6: Final answer
    x = 9,411.38

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Half 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.