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Finding the Fourth Proportional to 7,574.80, 11,373.10 and 5,497.16

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Solution

The fourth proportional to 7,574.80, 11,373.10 and 5,497.16 is: 8,253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.80 : 11,373.10 = 5,497.16 : x
  2. Step 2: Convert to fraction form
    7,574.80/11,373.10 = 5,497.16/x
  3. Step 3: Cross multiply
    7,574.80x = 11,373.10 × 5,497.16
  4. Step 4: Simplify right side
    7,574.80x = 62,519,750.40
  5. Step 5: Solve for x
    x = 62,519,750.40/7,574.80
  6. Step 6: Final answer
    x = 8,253.65

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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.