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Finding the Fourth Proportional to 6,509.54, 9,764.40 and 2,352.54

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Solution

The fourth proportional to 6,509.54, 9,764.40 and 2,352.54 is: 3,528.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.54 : 9,764.40 = 2,352.54 : x
  2. Step 2: Convert to fraction form
    6,509.54/9,764.40 = 2,352.54/x
  3. Step 3: Cross multiply
    6,509.54x = 9,764.40 × 2,352.54
  4. Step 4: Simplify right side
    6,509.54x = 22,971,141.58
  5. Step 5: Solve for x
    x = 22,971,141.58/6,509.54
  6. Step 6: Final answer
    x = 3,528.85

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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.