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Finding the Fourth Proportional to 6,314.40, 8,693.10 and 6,002.70

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Solution

The fourth proportional to 6,314.40, 8,693.10 and 6,002.70 is: 8,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.40 : 8,693.10 = 6,002.70 : x
  2. Step 2: Convert to fraction form
    6,314.40/8,693.10 = 6,002.70/x
  3. Step 3: Cross multiply
    6,314.40x = 8,693.10 × 6,002.70
  4. Step 4: Simplify right side
    6,314.40x = 52,182,071.37
  5. Step 5: Solve for x
    x = 52,182,071.37/6,314.40
  6. Step 6: Final answer
    x = 8,263.98

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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.