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Finding the Fourth Proportional to 6,509.96, 9,764.76 and 2,349.20

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Solution

The fourth proportional to 6,509.96, 9,764.76 and 2,349.20 is: 3,523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.96 : 9,764.76 = 2,349.20 : x
  2. Step 2: Convert to fraction form
    6,509.96/9,764.76 = 2,349.20/x
  3. Step 3: Cross multiply
    6,509.96x = 9,764.76 × 2,349.20
  4. Step 4: Simplify right side
    6,509.96x = 22,939,374.19
  5. Step 5: Solve for x
    x = 22,939,374.19/6,509.96
  6. Step 6: Final answer
    x = 3,523.74

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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.