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Finding the Fourth Proportional to 9,568.80, 14,254.50 and 9,278.64

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Solution

The fourth proportional to 9,568.80, 14,254.50 and 9,278.64 is: 13,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.80 : 14,254.50 = 9,278.64 : x
  2. Step 2: Convert to fraction form
    9,568.80/14,254.50 = 9,278.64/x
  3. Step 3: Cross multiply
    9,568.80x = 14,254.50 × 9,278.64
  4. Step 4: Simplify right side
    9,568.80x = 132,262,373.88
  5. Step 5: Solve for x
    x = 132,262,373.88/9,568.80
  6. Step 6: Final answer
    x = 13,822.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.