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Finding the Fourth Proportional to 7,517.56, 10,373.95 and 4,114.65

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Solution

The fourth proportional to 7,517.56, 10,373.95 and 4,114.65 is: 5,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.56 : 10,373.95 = 4,114.65 : x
  2. Step 2: Convert to fraction form
    7,517.56/10,373.95 = 4,114.65/x
  3. Step 3: Cross multiply
    7,517.56x = 10,373.95 × 4,114.65
  4. Step 4: Simplify right side
    7,517.56x = 42,685,147.49
  5. Step 5: Solve for x
    x = 42,685,147.49/7,517.56
  6. Step 6: Final answer
    x = 5,678.06

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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.