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Finding the Fourth Proportional to 10,397.68, 15,573.02 and 7,291.48

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Solution

The fourth proportional to 10,397.68, 15,573.02 and 7,291.48 is: 10,920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.68 : 15,573.02 = 7,291.48 : x
  2. Step 2: Convert to fraction form
    10,397.68/15,573.02 = 7,291.48/x
  3. Step 3: Cross multiply
    10,397.68x = 15,573.02 × 7,291.48
  4. Step 4: Simplify right side
    10,397.68x = 113,550,363.87
  5. Step 5: Solve for x
    x = 113,550,363.87/10,397.68
  6. Step 6: Final answer
    x = 10,920.74

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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.