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Finding the Fourth Proportional to 5,806.75, 8,710.11 and 1,646.76

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Solution

The fourth proportional to 5,806.75, 8,710.11 and 1,646.76 is: 2,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.75 : 8,710.11 = 1,646.76 : x
  2. Step 2: Convert to fraction form
    5,806.75/8,710.11 = 1,646.76/x
  3. Step 3: Cross multiply
    5,806.75x = 8,710.11 × 1,646.76
  4. Step 4: Simplify right side
    5,806.75x = 14,343,452.51
  5. Step 5: Solve for x
    x = 14,343,452.51/5,806.75
  6. Step 6: Final answer
    x = 2,470.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.