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Finding the Fourth Proportional to 6,702.14, 10,063.62 and 6,406.40

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Solution

The fourth proportional to 6,702.14, 10,063.62 and 6,406.40 is: 9,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.14 : 10,063.62 = 6,406.40 : x
  2. Step 2: Convert to fraction form
    6,702.14/10,063.62 = 6,406.40/x
  3. Step 3: Cross multiply
    6,702.14x = 10,063.62 × 6,406.40
  4. Step 4: Simplify right side
    6,702.14x = 64,471,575.17
  5. Step 5: Solve for x
    x = 64,471,575.17/6,702.14
  6. Step 6: Final answer
    x = 9,619.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.