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Finding the Fourth Proportional to 7,001.48, 9,662 and 3,814.54

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Solution

The fourth proportional to 7,001.48, 9,662 and 3,814.54 is: 5,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.48 : 9,662 = 3,814.54 : x
  2. Step 2: Convert to fraction form
    7,001.48/9,662 = 3,814.54/x
  3. Step 3: Cross multiply
    7,001.48x = 9,662 × 3,814.54
  4. Step 4: Simplify right side
    7,001.48x = 36,856,085.48
  5. Step 5: Solve for x
    x = 36,856,085.48/7,001.48
  6. Step 6: Final answer
    x = 5,264.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.