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Finding the Fourth Proportional to 22,658.16, 33,987.24 and 7,077

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Solution

The fourth proportional to 22,658.16, 33,987.24 and 7,077 is: 10,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.16 : 33,987.24 = 7,077 : x
  2. Step 2: Convert to fraction form
    22,658.16/33,987.24 = 7,077/x
  3. Step 3: Cross multiply
    22,658.16x = 33,987.24 × 7,077
  4. Step 4: Simplify right side
    22,658.16x = 240,527,697.48
  5. Step 5: Solve for x
    x = 240,527,697.48/22,658.16
  6. Step 6: Final answer
    x = 10,615.50

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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.