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Finding the Fourth Proportional to 6,702.84, 10,053.24 and 4,230.16

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Solution

The fourth proportional to 6,702.84, 10,053.24 and 4,230.16 is: 6,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.84 : 10,053.24 = 4,230.16 : x
  2. Step 2: Convert to fraction form
    6,702.84/10,053.24 = 4,230.16/x
  3. Step 3: Cross multiply
    6,702.84x = 10,053.24 × 4,230.16
  4. Step 4: Simplify right side
    6,702.84x = 42,526,813.72
  5. Step 5: Solve for x
    x = 42,526,813.72/6,702.84
  6. Step 6: Final answer
    x = 6,344.60

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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.