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Finding the Fourth Proportional to 6,487.13, 9,730.23 and 3,705.08

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Solution

The fourth proportional to 6,487.13, 9,730.23 and 3,705.08 is: 5,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.13 : 9,730.23 = 3,705.08 : x
  2. Step 2: Convert to fraction form
    6,487.13/9,730.23 = 3,705.08/x
  3. Step 3: Cross multiply
    6,487.13x = 9,730.23 × 3,705.08
  4. Step 4: Simplify right side
    6,487.13x = 36,051,280.57
  5. Step 5: Solve for x
    x = 36,051,280.57/6,487.13
  6. Step 6: Final answer
    x = 5,557.35

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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.