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Finding the Fourth Proportional to 10,258.53, 14,157.14 and 6,069.21

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Solution

The fourth proportional to 10,258.53, 14,157.14 and 6,069.21 is: 8,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.53 : 14,157.14 = 6,069.21 : x
  2. Step 2: Convert to fraction form
    10,258.53/14,157.14 = 6,069.21/x
  3. Step 3: Cross multiply
    10,258.53x = 14,157.14 × 6,069.21
  4. Step 4: Simplify right side
    10,258.53x = 85,922,625.31
  5. Step 5: Solve for x
    x = 85,922,625.31/10,258.53
  6. Step 6: Final answer
    x = 8,375.72

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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.