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Finding the Fourth Proportional to 13,232.71, 18,259.86 and 7,567.57

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Solution

The fourth proportional to 13,232.71, 18,259.86 and 7,567.57 is: 10,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.71 : 18,259.86 = 7,567.57 : x
  2. Step 2: Convert to fraction form
    13,232.71/18,259.86 = 7,567.57/x
  3. Step 3: Cross multiply
    13,232.71x = 18,259.86 × 7,567.57
  4. Step 4: Simplify right side
    13,232.71x = 138,182,768.74
  5. Step 5: Solve for x
    x = 138,182,768.74/13,232.71
  6. Step 6: Final answer
    x = 10,442.51

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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.