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Finding the Fourth Proportional to 6,486.90, 9,730.35 and 1,806.90

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Solution

The fourth proportional to 6,486.90, 9,730.35 and 1,806.90 is: 2,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.90 : 9,730.35 = 1,806.90 : x
  2. Step 2: Convert to fraction form
    6,486.90/9,730.35 = 1,806.90/x
  3. Step 3: Cross multiply
    6,486.90x = 9,730.35 × 1,806.90
  4. Step 4: Simplify right side
    6,486.90x = 17,581,769.42
  5. Step 5: Solve for x
    x = 17,581,769.42/6,486.90
  6. Step 6: Final answer
    x = 2,710.35

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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.