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Finding the Fourth Proportional to 5,962.29, 8,224.16 and 4,702.94

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Solution

The fourth proportional to 5,962.29, 8,224.16 and 4,702.94 is: 6,487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.29 : 8,224.16 = 4,702.94 : x
  2. Step 2: Convert to fraction form
    5,962.29/8,224.16 = 4,702.94/x
  3. Step 3: Cross multiply
    5,962.29x = 8,224.16 × 4,702.94
  4. Step 4: Simplify right side
    5,962.29x = 38,677,666.39
  5. Step 5: Solve for x
    x = 38,677,666.39/5,962.29
  6. Step 6: Final answer
    x = 6,487.05

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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.