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Finding the Fourth Proportional to 9,824.76, 14,737.13 and 5,662.11

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Solution

The fourth proportional to 9,824.76, 14,737.13 and 5,662.11 is: 8,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.76 : 14,737.13 = 5,662.11 : x
  2. Step 2: Convert to fraction form
    9,824.76/14,737.13 = 5,662.11/x
  3. Step 3: Cross multiply
    9,824.76x = 14,737.13 × 5,662.11
  4. Step 4: Simplify right side
    9,824.76x = 83,443,254.66
  5. Step 5: Solve for x
    x = 83,443,254.66/9,824.76
  6. Step 6: Final answer
    x = 8,493.16

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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.