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Finding the Fourth Proportional to 22,855.70, 34,271.40 and 9,693.20

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Solution

The fourth proportional to 22,855.70, 34,271.40 and 9,693.20 is: 14,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.70 : 34,271.40 = 9,693.20 : x
  2. Step 2: Convert to fraction form
    22,855.70/34,271.40 = 9,693.20/x
  3. Step 3: Cross multiply
    22,855.70x = 34,271.40 × 9,693.20
  4. Step 4: Simplify right side
    22,855.70x = 332,199,534.48
  5. Step 5: Solve for x
    x = 332,199,534.48/22,855.70
  6. Step 6: Final answer
    x = 14,534.65

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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.