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Finding the Fourth Proportional to 6,552.48, 9,827.00 and 4,472.10

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Solution

The fourth proportional to 6,552.48, 9,827.00 and 4,472.10 is: 6,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.48 : 9,827.00 = 4,472.10 : x
  2. Step 2: Convert to fraction form
    6,552.48/9,827.00 = 4,472.10/x
  3. Step 3: Cross multiply
    6,552.48x = 9,827.00 × 4,472.10
  4. Step 4: Simplify right side
    6,552.48x = 43,947,304.34
  5. Step 5: Solve for x
    x = 43,947,304.34/6,552.48
  6. Step 6: Final answer
    x = 6,706.97

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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.