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Finding the Fourth Proportional to 6,304.71, 9,456.93 and 1,560.81

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Solution

The fourth proportional to 6,304.71, 9,456.93 and 1,560.81 is: 2,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.71 : 9,456.93 = 1,560.81 : x
  2. Step 2: Convert to fraction form
    6,304.71/9,456.93 = 1,560.81/x
  3. Step 3: Cross multiply
    6,304.71x = 9,456.93 × 1,560.81
  4. Step 4: Simplify right side
    6,304.71x = 14,760,470.91
  5. Step 5: Solve for x
    x = 14,760,470.91/6,304.71
  6. Step 6: Final answer
    x = 2,341.18

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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.