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Finding the Fourth Proportional to 6,569,463.50, 9,840,454.10 and 5,283,105.74

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Solution

The fourth proportional to 6,569,463.50, 9,840,454.10 and 5,283,105.74 is: 7,913,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569,463.50 : 9,840,454.10 = 5,283,105.74 : x
  2. Step 2: Convert to fraction form
    6,569,463.50/9,840,454.10 = 5,283,105.74/x
  3. Step 3: Cross multiply
    6,569,463.50x = 9,840,454.10 × 5,283,105.74
  4. Step 4: Simplify right side
    6,569,463.50x = 51,988,159,539,916.53
  5. Step 5: Solve for x
    x = 51,988,159,539,916.53/6,569,463.50
  6. Step 6: Final answer
    x = 7,913,608.10

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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.