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Finding the Fourth Proportional to 10,314.59, 14,230.88 and 6,064.29

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Solution

The fourth proportional to 10,314.59, 14,230.88 and 6,064.29 is: 8,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.59 : 14,230.88 = 6,064.29 : x
  2. Step 2: Convert to fraction form
    10,314.59/14,230.88 = 6,064.29/x
  3. Step 3: Cross multiply
    10,314.59x = 14,230.88 × 6,064.29
  4. Step 4: Simplify right side
    10,314.59x = 86,300,152.95
  5. Step 5: Solve for x
    x = 86,300,152.95/10,314.59
  6. Step 6: Final answer
    x = 8,366.81

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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.