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Finding the Fourth Proportional to 13,574.17, 18,733.11 and 7,607.76

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Solution

The fourth proportional to 13,574.17, 18,733.11 and 7,607.76 is: 10,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.17 : 18,733.11 = 7,607.76 : x
  2. Step 2: Convert to fraction form
    13,574.17/18,733.11 = 7,607.76/x
  3. Step 3: Cross multiply
    13,574.17x = 18,733.11 × 7,607.76
  4. Step 4: Simplify right side
    13,574.17x = 142,516,906.16
  5. Step 5: Solve for x
    x = 142,516,906.16/13,574.17
  6. Step 6: Final answer
    x = 10,499.12

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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.