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Finding the Fourth Proportional to 10,049.58, 13,839.18 and 9,407.77

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Solution

The fourth proportional to 10,049.58, 13,839.18 and 9,407.77 is: 12,955.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.58 : 13,839.18 = 9,407.77 : x
  2. Step 2: Convert to fraction form
    10,049.58/13,839.18 = 9,407.77/x
  3. Step 3: Cross multiply
    10,049.58x = 13,839.18 × 9,407.77
  4. Step 4: Simplify right side
    10,049.58x = 130,195,822.43
  5. Step 5: Solve for x
    x = 130,195,822.43/10,049.58
  6. Step 6: Final answer
    x = 12,955.35

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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.