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Finding the Fourth Proportional to 9,875.70, 14,737.11 and 8,824.28

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Solution

The fourth proportional to 9,875.70, 14,737.11 and 8,824.28 is: 13,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.70 : 14,737.11 = 8,824.28 : x
  2. Step 2: Convert to fraction form
    9,875.70/14,737.11 = 8,824.28/x
  3. Step 3: Cross multiply
    9,875.70x = 14,737.11 × 8,824.28
  4. Step 4: Simplify right side
    9,875.70x = 130,044,385.03
  5. Step 5: Solve for x
    x = 130,044,385.03/9,875.70
  6. Step 6: Final answer
    x = 13,168.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.