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Finding the Fourth Proportional to 9,854.87, 13,600.71 and 6,078.65

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Solution

The fourth proportional to 9,854.87, 13,600.71 and 6,078.65 is: 8,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.87 : 13,600.71 = 6,078.65 : x
  2. Step 2: Convert to fraction form
    9,854.87/13,600.71 = 6,078.65/x
  3. Step 3: Cross multiply
    9,854.87x = 13,600.71 × 6,078.65
  4. Step 4: Simplify right side
    9,854.87x = 82,673,887.84
  5. Step 5: Solve for x
    x = 82,673,887.84/9,854.87
  6. Step 6: Final answer
    x = 8,389.14

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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.