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Finding the Fourth Proportional to 10,446.14, 15,674.88 and 6,927.50

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Solution

The fourth proportional to 10,446.14, 15,674.88 and 6,927.50 is: 10,395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.14 : 15,674.88 = 6,927.50 : x
  2. Step 2: Convert to fraction form
    10,446.14/15,674.88 = 6,927.50/x
  3. Step 3: Cross multiply
    10,446.14x = 15,674.88 × 6,927.50
  4. Step 4: Simplify right side
    10,446.14x = 108,587,731.20
  5. Step 5: Solve for x
    x = 108,587,731.20/10,446.14
  6. Step 6: Final answer
    x = 10,395.01

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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.