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Finding the Fourth Proportional to 9,260.88, 13,886.44 and 6,947.52

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Solution

The fourth proportional to 9,260.88, 13,886.44 and 6,947.52 is: 10,417.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.88 : 13,886.44 = 6,947.52 : x
  2. Step 2: Convert to fraction form
    9,260.88/13,886.44 = 6,947.52/x
  3. Step 3: Cross multiply
    9,260.88x = 13,886.44 × 6,947.52
  4. Step 4: Simplify right side
    9,260.88x = 96,476,319.63
  5. Step 5: Solve for x
    x = 96,476,319.63/9,260.88
  6. Step 6: Final answer
    x = 10,417.62

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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.