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Finding the Fourth Proportional to 6,309.16, 8,701.98 and 4,630

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Solution

The fourth proportional to 6,309.16, 8,701.98 and 4,630 is: 6,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.16 : 8,701.98 = 4,630 : x
  2. Step 2: Convert to fraction form
    6,309.16/8,701.98 = 4,630/x
  3. Step 3: Cross multiply
    6,309.16x = 8,701.98 × 4,630
  4. Step 4: Simplify right side
    6,309.16x = 40,290,167.40
  5. Step 5: Solve for x
    x = 40,290,167.40/6,309.16
  6. Step 6: Final answer
    x = 6,385.98

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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.