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Finding the Fourth Proportional to 7,144.12, 10,732.65 and 6,848.88

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Solution

The fourth proportional to 7,144.12, 10,732.65 and 6,848.88 is: 10,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.12 : 10,732.65 = 6,848.88 : x
  2. Step 2: Convert to fraction form
    7,144.12/10,732.65 = 6,848.88/x
  3. Step 3: Cross multiply
    7,144.12x = 10,732.65 × 6,848.88
  4. Step 4: Simplify right side
    7,144.12x = 73,506,631.93
  5. Step 5: Solve for x
    x = 73,506,631.93/7,144.12
  6. Step 6: Final answer
    x = 10,289.11

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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.