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Finding the Fourth Proportional to 7,032.32, 9,704.31 and 4,048.46

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Solution

The fourth proportional to 7,032.32, 9,704.31 and 4,048.46 is: 5,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.32 : 9,704.31 = 4,048.46 : x
  2. Step 2: Convert to fraction form
    7,032.32/9,704.31 = 4,048.46/x
  3. Step 3: Cross multiply
    7,032.32x = 9,704.31 × 4,048.46
  4. Step 4: Simplify right side
    7,032.32x = 39,287,510.86
  5. Step 5: Solve for x
    x = 39,287,510.86/7,032.32
  6. Step 6: Final answer
    x = 5,586.71

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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.