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Finding the Fourth Proportional to 5,702.61, 7,863.10 and 4,637.46

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Solution

The fourth proportional to 5,702.61, 7,863.10 and 4,637.46 is: 6,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.61 : 7,863.10 = 4,637.46 : x
  2. Step 2: Convert to fraction form
    5,702.61/7,863.10 = 4,637.46/x
  3. Step 3: Cross multiply
    5,702.61x = 7,863.10 × 4,637.46
  4. Step 4: Simplify right side
    5,702.61x = 36,464,800.13
  5. Step 5: Solve for x
    x = 36,464,800.13/5,702.61
  6. Step 6: Final answer
    x = 6,394.41

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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.