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Finding the Fourth Proportional to 9,666.16, 14,502 and 4,737.24

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Solution

The fourth proportional to 9,666.16, 14,502 and 4,737.24 is: 7,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.16 : 14,502 = 4,737.24 : x
  2. Step 2: Convert to fraction form
    9,666.16/14,502 = 4,737.24/x
  3. Step 3: Cross multiply
    9,666.16x = 14,502 × 4,737.24
  4. Step 4: Simplify right side
    9,666.16x = 68,699,454.48
  5. Step 5: Solve for x
    x = 68,699,454.48/9,666.16
  6. Step 6: Final answer
    x = 7,107.21

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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.