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Finding the Fourth Proportional to 7,197.50, 9,932.58 and 4,053.74

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Solution

The fourth proportional to 7,197.50, 9,932.58 and 4,053.74 is: 5,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.50 : 9,932.58 = 4,053.74 : x
  2. Step 2: Convert to fraction form
    7,197.50/9,932.58 = 4,053.74/x
  3. Step 3: Cross multiply
    7,197.50x = 9,932.58 × 4,053.74
  4. Step 4: Simplify right side
    7,197.50x = 40,264,096.85
  5. Step 5: Solve for x
    x = 40,264,096.85/7,197.50
  6. Step 6: Final answer
    x = 5,594.18

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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.