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Finding the Fourth Proportional to 9,098.34, 12,557.07 and 8,535.48

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Solution

The fourth proportional to 9,098.34, 12,557.07 and 8,535.48 is: 11,780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.34 : 12,557.07 = 8,535.48 : x
  2. Step 2: Convert to fraction form
    9,098.34/12,557.07 = 8,535.48/x
  3. Step 3: Cross multiply
    9,098.34x = 12,557.07 × 8,535.48
  4. Step 4: Simplify right side
    9,098.34x = 107,180,619.84
  5. Step 5: Solve for x
    x = 107,180,619.84/9,098.34
  6. Step 6: Final answer
    x = 11,780.24

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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.