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Finding the Fourth Proportional to 10,648.65, 15,972.43 and 4,074.33

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Solution

The fourth proportional to 10,648.65, 15,972.43 and 4,074.33 is: 6,111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.65 : 15,972.43 = 4,074.33 : x
  2. Step 2: Convert to fraction form
    10,648.65/15,972.43 = 4,074.33/x
  3. Step 3: Cross multiply
    10,648.65x = 15,972.43 × 4,074.33
  4. Step 4: Simplify right side
    10,648.65x = 65,076,950.72
  5. Step 5: Solve for x
    x = 65,076,950.72/10,648.65
  6. Step 6: Final answer
    x = 6,111.29

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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.