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Finding the Fourth Proportional to 10,416.80, 14,375.13 and 5,701.16

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Solution

The fourth proportional to 10,416.80, 14,375.13 and 5,701.16 is: 7,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.80 : 14,375.13 = 5,701.16 : x
  2. Step 2: Convert to fraction form
    10,416.80/14,375.13 = 5,701.16/x
  3. Step 3: Cross multiply
    10,416.80x = 14,375.13 × 5,701.16
  4. Step 4: Simplify right side
    10,416.80x = 81,954,916.15
  5. Step 5: Solve for x
    x = 81,954,916.15/10,416.80
  6. Step 6: Final answer
    x = 7,867.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.