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Finding the Fourth Proportional to 6,306.72, 8,702.40 and 5,366.40

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Solution

The fourth proportional to 6,306.72, 8,702.40 and 5,366.40 is: 7,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.72 : 8,702.40 = 5,366.40 : x
  2. Step 2: Convert to fraction form
    6,306.72/8,702.40 = 5,366.40/x
  3. Step 3: Cross multiply
    6,306.72x = 8,702.40 × 5,366.40
  4. Step 4: Simplify right side
    6,306.72x = 46,700,559.36
  5. Step 5: Solve for x
    x = 46,700,559.36/6,306.72
  6. Step 6: Final answer
    x = 7,404.89

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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.