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Finding the Fourth Proportional to 24,782.60, 37,145.10 and 9,984.20

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Solution

The fourth proportional to 24,782.60, 37,145.10 and 9,984.20 is: 14,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.60 : 37,145.10 = 9,984.20 : x
  2. Step 2: Convert to fraction form
    24,782.60/37,145.10 = 9,984.20/x
  3. Step 3: Cross multiply
    24,782.60x = 37,145.10 × 9,984.20
  4. Step 4: Simplify right side
    24,782.60x = 370,864,107.42
  5. Step 5: Solve for x
    x = 370,864,107.42/24,782.60
  6. Step 6: Final answer
    x = 14,964.70

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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.