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Finding the Fourth Proportional to 9,648.75, 14,454.90 and 7,558.95

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Solution

The fourth proportional to 9,648.75, 14,454.90 and 7,558.95 is: 11,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.75 : 14,454.90 = 7,558.95 : x
  2. Step 2: Convert to fraction form
    9,648.75/14,454.90 = 7,558.95/x
  3. Step 3: Cross multiply
    9,648.75x = 14,454.90 × 7,558.95
  4. Step 4: Simplify right side
    9,648.75x = 109,263,866.36
  5. Step 5: Solve for x
    x = 109,263,866.36/9,648.75
  6. Step 6: Final answer
    x = 11,324.15

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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.