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Finding the Fourth Proportional to 18,547.71, 27,821.24 and 5,897.42

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Solution

The fourth proportional to 18,547.71, 27,821.24 and 5,897.42 is: 8,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.71 : 27,821.24 = 5,897.42 : x
  2. Step 2: Convert to fraction form
    18,547.71/27,821.24 = 5,897.42/x
  3. Step 3: Cross multiply
    18,547.71x = 27,821.24 × 5,897.42
  4. Step 4: Simplify right side
    18,547.71x = 164,073,368.61
  5. Step 5: Solve for x
    x = 164,073,368.61/18,547.71
  6. Step 6: Final answer
    x = 8,846.02

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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.