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Finding the Fourth Proportional to 6,466.59, 9,697.46 and 5,096.07

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Solution

The fourth proportional to 6,466.59, 9,697.46 and 5,096.07 is: 7,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.59 : 9,697.46 = 5,096.07 : x
  2. Step 2: Convert to fraction form
    6,466.59/9,697.46 = 5,096.07/x
  3. Step 3: Cross multiply
    6,466.59x = 9,697.46 × 5,096.07
  4. Step 4: Simplify right side
    6,466.59x = 49,418,909.50
  5. Step 5: Solve for x
    x = 49,418,909.50/6,466.59
  6. Step 6: Final answer
    x = 7,642.19

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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.