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Finding the Fourth Proportional to 11,627.16, 16,047 and 6,592.20

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Solution

The fourth proportional to 11,627.16, 16,047 and 6,592.20 is: 9,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.16 : 16,047 = 6,592.20 : x
  2. Step 2: Convert to fraction form
    11,627.16/16,047 = 6,592.20/x
  3. Step 3: Cross multiply
    11,627.16x = 16,047 × 6,592.20
  4. Step 4: Simplify right side
    11,627.16x = 105,785,033.40
  5. Step 5: Solve for x
    x = 105,785,033.40/11,627.16
  6. Step 6: Final answer
    x = 9,098.10

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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.