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Finding the Fourth Proportional to 6,875.51, 9,488.20 and 3,731.70

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Solution

The fourth proportional to 6,875.51, 9,488.20 and 3,731.70 is: 5,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.51 : 9,488.20 = 3,731.70 : x
  2. Step 2: Convert to fraction form
    6,875.51/9,488.20 = 3,731.70/x
  3. Step 3: Cross multiply
    6,875.51x = 9,488.20 × 3,731.70
  4. Step 4: Simplify right side
    6,875.51x = 35,407,085.02
  5. Step 5: Solve for x
    x = 35,407,085.02/6,875.51
  6. Step 6: Final answer
    x = 5,149.74

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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.