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Finding the Fourth Proportional to 9,648.77, 13,314.71 and 6,113.12

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Solution

The fourth proportional to 9,648.77, 13,314.71 and 6,113.12 is: 8,435.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.77 : 13,314.71 = 6,113.12 : x
  2. Step 2: Convert to fraction form
    9,648.77/13,314.71 = 6,113.12/x
  3. Step 3: Cross multiply
    9,648.77x = 13,314.71 × 6,113.12
  4. Step 4: Simplify right side
    9,648.77x = 81,394,368.70
  5. Step 5: Solve for x
    x = 81,394,368.70/9,648.77
  6. Step 6: Final answer
    x = 8,435.73

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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.