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Finding the Fourth Proportional to 18,547.13, 27,824.18 and 7,454.70

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Solution

The fourth proportional to 18,547.13, 27,824.18 and 7,454.70 is: 11,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.13 : 27,824.18 = 7,454.70 : x
  2. Step 2: Convert to fraction form
    18,547.13/27,824.18 = 7,454.70/x
  3. Step 3: Cross multiply
    18,547.13x = 27,824.18 × 7,454.70
  4. Step 4: Simplify right side
    18,547.13x = 207,420,877.37
  5. Step 5: Solve for x
    x = 207,420,877.37/18,547.13
  6. Step 6: Final answer
    x = 11,183.45

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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.