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Finding the Fourth Proportional to 6,802.52, 9,385.07 and 4,446.02

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Solution

The fourth proportional to 6,802.52, 9,385.07 and 4,446.02 is: 6,133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.52 : 9,385.07 = 4,446.02 : x
  2. Step 2: Convert to fraction form
    6,802.52/9,385.07 = 4,446.02/x
  3. Step 3: Cross multiply
    6,802.52x = 9,385.07 × 4,446.02
  4. Step 4: Simplify right side
    6,802.52x = 41,726,210.15
  5. Step 5: Solve for x
    x = 41,726,210.15/6,802.52
  6. Step 6: Final answer
    x = 6,133.94

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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.