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Finding the Fourth Proportional to 9,906.57, 13,672.47 and 6,130.95

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Solution

The fourth proportional to 9,906.57, 13,672.47 and 6,130.95 is: 8,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.57 : 13,672.47 = 6,130.95 : x
  2. Step 2: Convert to fraction form
    9,906.57/13,672.47 = 6,130.95/x
  3. Step 3: Cross multiply
    9,906.57x = 13,672.47 × 6,130.95
  4. Step 4: Simplify right side
    9,906.57x = 83,825,199.29
  5. Step 5: Solve for x
    x = 83,825,199.29/9,906.57
  6. Step 6: Final answer
    x = 8,461.58

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1.5x scale

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.