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Finding the Fourth Proportional to 9,967.60, 14,983.80 and 9,384.40

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Solution

The fourth proportional to 9,967.60, 14,983.80 and 9,384.40 is: 14,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.60 : 14,983.80 = 9,384.40 : x
  2. Step 2: Convert to fraction form
    9,967.60/14,983.80 = 9,384.40/x
  3. Step 3: Cross multiply
    9,967.60x = 14,983.80 × 9,384.40
  4. Step 4: Simplify right side
    9,967.60x = 140,613,972.72
  5. Step 5: Solve for x
    x = 140,613,972.72/9,967.60
  6. Step 6: Final answer
    x = 14,107.10

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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.