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Finding the Fourth Proportional to 10,475.90, 15,700.48 and 4,916.98

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Solution

The fourth proportional to 10,475.90, 15,700.48 and 4,916.98 is: 7,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.90 : 15,700.48 = 4,916.98 : x
  2. Step 2: Convert to fraction form
    10,475.90/15,700.48 = 4,916.98/x
  3. Step 3: Cross multiply
    10,475.90x = 15,700.48 × 4,916.98
  4. Step 4: Simplify right side
    10,475.90x = 77,198,946.15
  5. Step 5: Solve for x
    x = 77,198,946.15/10,475.90
  6. Step 6: Final answer
    x = 7,369.19

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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.