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Finding the Fourth Proportional to 10,678.40, 15,998.40 and 9,142.40

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Solution

The fourth proportional to 10,678.40, 15,998.40 and 9,142.40 is: 13,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.40 : 15,998.40 = 9,142.40 : x
  2. Step 2: Convert to fraction form
    10,678.40/15,998.40 = 9,142.40/x
  3. Step 3: Cross multiply
    10,678.40x = 15,998.40 × 9,142.40
  4. Step 4: Simplify right side
    10,678.40x = 146,263,772.16
  5. Step 5: Solve for x
    x = 146,263,772.16/10,678.40
  6. Step 6: Final answer
    x = 13,697.16

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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.