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Finding the Fourth Proportional to 6,442.96, 9,653.28 and 5,065.12

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Solution

The fourth proportional to 6,442.96, 9,653.28 and 5,065.12 is: 7,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.96 : 9,653.28 = 5,065.12 : x
  2. Step 2: Convert to fraction form
    6,442.96/9,653.28 = 5,065.12/x
  3. Step 3: Cross multiply
    6,442.96x = 9,653.28 × 5,065.12
  4. Step 4: Simplify right side
    6,442.96x = 48,895,021.59
  5. Step 5: Solve for x
    x = 48,895,021.59/6,442.96
  6. Step 6: Final answer
    x = 7,588.91

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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.