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Finding the Fourth Proportional to 22,897.76, 34,351.56 and 7,102.47

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Solution

The fourth proportional to 22,897.76, 34,351.56 and 7,102.47 is: 10,655.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.76 : 34,351.56 = 7,102.47 : x
  2. Step 2: Convert to fraction form
    22,897.76/34,351.56 = 7,102.47/x
  3. Step 3: Cross multiply
    22,897.76x = 34,351.56 × 7,102.47
  4. Step 4: Simplify right side
    22,897.76x = 243,980,879.92
  5. Step 5: Solve for x
    x = 243,980,879.92/22,897.76
  6. Step 6: Final answer
    x = 10,655.23

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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.