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Finding the Fourth Proportional to 10,829, 14,937 and 6,637.52

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Solution

The fourth proportional to 10,829, 14,937 and 6,637.52 is: 9,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829 : 14,937 = 6,637.52 : x
  2. Step 2: Convert to fraction form
    10,829/14,937 = 6,637.52/x
  3. Step 3: Cross multiply
    10,829x = 14,937 × 6,637.52
  4. Step 4: Simplify right side
    10,829x = 99,144,636.24
  5. Step 5: Solve for x
    x = 99,144,636.24/10,829
  6. Step 6: Final answer
    x = 9,155.47

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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.