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Finding the Fourth Proportional to 14,547.78, 21,821.67 and 4,687.24

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Solution

The fourth proportional to 14,547.78, 21,821.67 and 4,687.24 is: 7,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.78 : 21,821.67 = 4,687.24 : x
  2. Step 2: Convert to fraction form
    14,547.78/21,821.67 = 4,687.24/x
  3. Step 3: Cross multiply
    14,547.78x = 21,821.67 × 4,687.24
  4. Step 4: Simplify right side
    14,547.78x = 102,283,404.49
  5. Step 5: Solve for x
    x = 102,283,404.49/14,547.78
  6. Step 6: Final answer
    x = 7,030.86

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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.