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Finding the Fourth Proportional to 7,152.57, 9,864.11 and 4,632.05

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Solution

The fourth proportional to 7,152.57, 9,864.11 and 4,632.05 is: 6,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.57 : 9,864.11 = 4,632.05 : x
  2. Step 2: Convert to fraction form
    7,152.57/9,864.11 = 4,632.05/x
  3. Step 3: Cross multiply
    7,152.57x = 9,864.11 × 4,632.05
  4. Step 4: Simplify right side
    7,152.57x = 45,691,086.97
  5. Step 5: Solve for x
    x = 45,691,086.97/7,152.57
  6. Step 6: Final answer
    x = 6,388.07

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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.