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Finding the Fourth Proportional to 7,443.14, 11,154 and 4,482.80

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Solution

The fourth proportional to 7,443.14, 11,154 and 4,482.80 is: 6,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.14 : 11,154 = 4,482.80 : x
  2. Step 2: Convert to fraction form
    7,443.14/11,154 = 4,482.80/x
  3. Step 3: Cross multiply
    7,443.14x = 11,154 × 4,482.80
  4. Step 4: Simplify right side
    7,443.14x = 50,001,151.20
  5. Step 5: Solve for x
    x = 50,001,151.20/7,443.14
  6. Step 6: Final answer
    x = 6,717.75

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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.