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Finding the Fourth Proportional to 9,295.63, 13,948.22 and 6,177.78

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Solution

The fourth proportional to 9,295.63, 13,948.22 and 6,177.78 is: 9,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.63 : 13,948.22 = 6,177.78 : x
  2. Step 2: Convert to fraction form
    9,295.63/13,948.22 = 6,177.78/x
  3. Step 3: Cross multiply
    9,295.63x = 13,948.22 × 6,177.78
  4. Step 4: Simplify right side
    9,295.63x = 86,169,050.00
  5. Step 5: Solve for x
    x = 86,169,050.00/9,295.63
  6. Step 6: Final answer
    x = 9,269.85

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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.