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Finding the Fourth Proportional to 22,900.48, 34,363.10 and 9,574.64

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Solution

The fourth proportional to 22,900.48, 34,363.10 and 9,574.64 is: 14,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,900.48 : 34,363.10 = 9,574.64 : x
  2. Step 2: Convert to fraction form
    22,900.48/34,363.10 = 9,574.64/x
  3. Step 3: Cross multiply
    22,900.48x = 34,363.10 × 9,574.64
  4. Step 4: Simplify right side
    22,900.48x = 329,014,311.78
  5. Step 5: Solve for x
    x = 329,014,311.78/22,900.48
  6. Step 6: Final answer
    x = 14,367.14

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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.