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Finding the Fourth Proportional to 6,504.30, 9,742.05 and 5,352.30

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Solution

The fourth proportional to 6,504.30, 9,742.05 and 5,352.30 is: 8,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.30 : 9,742.05 = 5,352.30 : x
  2. Step 2: Convert to fraction form
    6,504.30/9,742.05 = 5,352.30/x
  3. Step 3: Cross multiply
    6,504.30x = 9,742.05 × 5,352.30
  4. Step 4: Simplify right side
    6,504.30x = 52,142,374.22
  5. Step 5: Solve for x
    x = 52,142,374.22/6,504.30
  6. Step 6: Final answer
    x = 8,016.60

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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.