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Finding the Fourth Proportional to 9,697.68, 14,546.23 and 2,678.12

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Solution

The fourth proportional to 9,697.68, 14,546.23 and 2,678.12 is: 4,017.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.68 : 14,546.23 = 2,678.12 : x
  2. Step 2: Convert to fraction form
    9,697.68/14,546.23 = 2,678.12/x
  3. Step 3: Cross multiply
    9,697.68x = 14,546.23 × 2,678.12
  4. Step 4: Simplify right side
    9,697.68x = 38,956,549.49
  5. Step 5: Solve for x
    x = 38,956,549.49/9,697.68
  6. Step 6: Final answer
    x = 4,017.10

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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.