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Finding the Fourth Proportional to 7,458.71, 10,293.01 and 4,101.57

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Solution

The fourth proportional to 7,458.71, 10,293.01 and 4,101.57 is: 5,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.71 : 10,293.01 = 4,101.57 : x
  2. Step 2: Convert to fraction form
    7,458.71/10,293.01 = 4,101.57/x
  3. Step 3: Cross multiply
    7,458.71x = 10,293.01 × 4,101.57
  4. Step 4: Simplify right side
    7,458.71x = 42,217,490.77
  5. Step 5: Solve for x
    x = 42,217,490.77/7,458.71
  6. Step 6: Final answer
    x = 5,660.16

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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.