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Finding the Fourth Proportional to 15,151.48, 22,726.22 and 7,259.64

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Solution

The fourth proportional to 15,151.48, 22,726.22 and 7,259.64 is: 10,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,151.48 : 22,726.22 = 7,259.64 : x
  2. Step 2: Convert to fraction form
    15,151.48/22,726.22 = 7,259.64/x
  3. Step 3: Cross multiply
    15,151.48x = 22,726.22 × 7,259.64
  4. Step 4: Simplify right side
    15,151.48x = 164,984,175.76
  5. Step 5: Solve for x
    x = 164,984,175.76/15,151.48
  6. Step 6: Final answer
    x = 10,888.98

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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.