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Finding the Fourth Proportional to 10,416.74, 14,375.14 and 5,701.46

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Solution

The fourth proportional to 10,416.74, 14,375.14 and 5,701.46 is: 7,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.74 : 14,375.14 = 5,701.46 : x
  2. Step 2: Convert to fraction form
    10,416.74/14,375.14 = 5,701.46/x
  3. Step 3: Cross multiply
    10,416.74x = 14,375.14 × 5,701.46
  4. Step 4: Simplify right side
    10,416.74x = 81,959,199.58
  5. Step 5: Solve for x
    x = 81,959,199.58/10,416.74
  6. Step 6: Final answer
    x = 7,868.03

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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.