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Finding the Fourth Proportional to 8,315.46, 11,472.10 and 5,484.31

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Solution

The fourth proportional to 8,315.46, 11,472.10 and 5,484.31 is: 7,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.46 : 11,472.10 = 5,484.31 : x
  2. Step 2: Convert to fraction form
    8,315.46/11,472.10 = 5,484.31/x
  3. Step 3: Cross multiply
    8,315.46x = 11,472.10 × 5,484.31
  4. Step 4: Simplify right side
    8,315.46x = 62,916,510.36
  5. Step 5: Solve for x
    x = 62,916,510.36/8,315.46
  6. Step 6: Final answer
    x = 7,566.21

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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.