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Finding the Fourth Proportional to 9,052.40, 13,578.56 and 2,478.40

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Solution

The fourth proportional to 9,052.40, 13,578.56 and 2,478.40 is: 3,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.40 : 13,578.56 = 2,478.40 : x
  2. Step 2: Convert to fraction form
    9,052.40/13,578.56 = 2,478.40/x
  3. Step 3: Cross multiply
    9,052.40x = 13,578.56 × 2,478.40
  4. Step 4: Simplify right side
    9,052.40x = 33,653,103.10
  5. Step 5: Solve for x
    x = 33,653,103.10/9,052.40
  6. Step 6: Final answer
    x = 3,717.59

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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.