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Finding the Fourth Proportional to 6,348.06, 8,758.58 and 3,695.10

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Solution

The fourth proportional to 6,348.06, 8,758.58 and 3,695.10 is: 5,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.06 : 8,758.58 = 3,695.10 : x
  2. Step 2: Convert to fraction form
    6,348.06/8,758.58 = 3,695.10/x
  3. Step 3: Cross multiply
    6,348.06x = 8,758.58 × 3,695.10
  4. Step 4: Simplify right side
    6,348.06x = 32,363,810.48
  5. Step 5: Solve for x
    x = 32,363,810.48/6,348.06
  6. Step 6: Final answer
    x = 5,098.22

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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.