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Finding the Fourth Proportional to 9,411.76, 14,122.28 and 6,656.14

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Solution

The fourth proportional to 9,411.76, 14,122.28 and 6,656.14 is: 9,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.76 : 14,122.28 = 6,656.14 : x
  2. Step 2: Convert to fraction form
    9,411.76/14,122.28 = 6,656.14/x
  3. Step 3: Cross multiply
    9,411.76x = 14,122.28 × 6,656.14
  4. Step 4: Simplify right side
    9,411.76x = 93,999,872.80
  5. Step 5: Solve for x
    x = 93,999,872.80/9,411.76
  6. Step 6: Final answer
    x = 9,987.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.