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Finding the Fourth Proportional to 9,750.16, 14,625.24 and 4,559.68

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Solution

The fourth proportional to 9,750.16, 14,625.24 and 4,559.68 is: 6,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.16 : 14,625.24 = 4,559.68 : x
  2. Step 2: Convert to fraction form
    9,750.16/14,625.24 = 4,559.68/x
  3. Step 3: Cross multiply
    9,750.16x = 14,625.24 × 4,559.68
  4. Step 4: Simplify right side
    9,750.16x = 66,686,414.32
  5. Step 5: Solve for x
    x = 66,686,414.32/9,750.16
  6. Step 6: Final answer
    x = 6,839.52

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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.