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Finding the Fourth Proportional to 9,923.71, 13,695.41 and 6,560.68

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Solution

The fourth proportional to 9,923.71, 13,695.41 and 6,560.68 is: 9,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.71 : 13,695.41 = 6,560.68 : x
  2. Step 2: Convert to fraction form
    9,923.71/13,695.41 = 6,560.68/x
  3. Step 3: Cross multiply
    9,923.71x = 13,695.41 × 6,560.68
  4. Step 4: Simplify right side
    9,923.71x = 89,851,101.20
  5. Step 5: Solve for x
    x = 89,851,101.20/9,923.71
  6. Step 6: Final answer
    x = 9,054.19

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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.