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Finding the Fourth Proportional to 14,377.50, 21,566.25 and 4,649.50

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Solution

The fourth proportional to 14,377.50, 21,566.25 and 4,649.50 is: 6,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,377.50 : 21,566.25 = 4,649.50 : x
  2. Step 2: Convert to fraction form
    14,377.50/21,566.25 = 4,649.50/x
  3. Step 3: Cross multiply
    14,377.50x = 21,566.25 × 4,649.50
  4. Step 4: Simplify right side
    14,377.50x = 100,272,279.38
  5. Step 5: Solve for x
    x = 100,272,279.38/14,377.50
  6. Step 6: Final answer
    x = 6,974.25

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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.