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Finding the Fourth Proportional to 9,761.04, 14,641.47 and 5,078.66

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Solution

The fourth proportional to 9,761.04, 14,641.47 and 5,078.66 is: 7,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.04 : 14,641.47 = 5,078.66 : x
  2. Step 2: Convert to fraction form
    9,761.04/14,641.47 = 5,078.66/x
  3. Step 3: Cross multiply
    9,761.04x = 14,641.47 × 5,078.66
  4. Step 4: Simplify right side
    9,761.04x = 74,358,974.82
  5. Step 5: Solve for x
    x = 74,358,974.82/9,761.04
  6. Step 6: Final answer
    x = 7,617.94

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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.