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Finding the Fourth Proportional to 24,686.90, 37,013.07 and 9,100.34

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Solution

The fourth proportional to 24,686.90, 37,013.07 and 9,100.34 is: 13,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,686.90 : 37,013.07 = 9,100.34 : x
  2. Step 2: Convert to fraction form
    24,686.90/37,013.07 = 9,100.34/x
  3. Step 3: Cross multiply
    24,686.90x = 37,013.07 × 9,100.34
  4. Step 4: Simplify right side
    24,686.90x = 336,831,613.98
  5. Step 5: Solve for x
    x = 336,831,613.98/24,686.90
  6. Step 6: Final answer
    x = 13,644.14

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1.5x scale

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.