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Finding the Fourth Proportional to 9,752.32, 13,453.86 and 6,214.24

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Solution

The fourth proportional to 9,752.32, 13,453.86 and 6,214.24 is: 8,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.32 : 13,453.86 = 6,214.24 : x
  2. Step 2: Convert to fraction form
    9,752.32/13,453.86 = 6,214.24/x
  3. Step 3: Cross multiply
    9,752.32x = 13,453.86 × 6,214.24
  4. Step 4: Simplify right side
    9,752.32x = 83,605,514.97
  5. Step 5: Solve for x
    x = 83,605,514.97/9,752.32
  6. Step 6: Final answer
    x = 8,572.88

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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.