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Finding the Fourth Proportional to 14,978.20, 22,424.10 and 9,146.20

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Solution

The fourth proportional to 14,978.20, 22,424.10 and 9,146.20 is: 13,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.20 : 22,424.10 = 9,146.20 : x
  2. Step 2: Convert to fraction form
    14,978.20/22,424.10 = 9,146.20/x
  3. Step 3: Cross multiply
    14,978.20x = 22,424.10 × 9,146.20
  4. Step 4: Simplify right side
    14,978.20x = 205,095,303.42
  5. Step 5: Solve for x
    x = 205,095,303.42/14,978.20
  6. Step 6: Final answer
    x = 13,692.92

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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.