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Finding the Fourth Proportional to 6,444.48, 9,669.28 and 6,434.24

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Solution

The fourth proportional to 6,444.48, 9,669.28 and 6,434.24 is: 9,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.48 : 9,669.28 = 6,434.24 : x
  2. Step 2: Convert to fraction form
    6,444.48/9,669.28 = 6,434.24/x
  3. Step 3: Cross multiply
    6,444.48x = 9,669.28 × 6,434.24
  4. Step 4: Simplify right side
    6,444.48x = 62,214,468.15
  5. Step 5: Solve for x
    x = 62,214,468.15/6,444.48
  6. Step 6: Final answer
    x = 9,653.92

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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.