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Finding the Fourth Proportional to 7,446.90, 10,412.70 and 7,446.90

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Solution

The fourth proportional to 7,446.90, 10,412.70 and 7,446.90 is: 10,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.90 : 10,412.70 = 7,446.90 : x
  2. Step 2: Convert to fraction form
    7,446.90/10,412.70 = 7,446.90/x
  3. Step 3: Cross multiply
    7,446.90x = 10,412.70 × 7,446.90
  4. Step 4: Simplify right side
    7,446.90x = 77,542,335.63
  5. Step 5: Solve for x
    x = 77,542,335.63/7,446.90
  6. Step 6: Final answer
    x = 10,412.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.