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Finding the Fourth Proportional to 7,201.76, 10,785.85 and 6,952.32

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Solution

The fourth proportional to 7,201.76, 10,785.85 and 6,952.32 is: 10,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.76 : 10,785.85 = 6,952.32 : x
  2. Step 2: Convert to fraction form
    7,201.76/10,785.85 = 6,952.32/x
  3. Step 3: Cross multiply
    7,201.76x = 10,785.85 × 6,952.32
  4. Step 4: Simplify right side
    7,201.76x = 74,986,685.46
  5. Step 5: Solve for x
    x = 74,986,685.46/7,201.76
  6. Step 6: Final answer
    x = 10,412.28

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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.