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Finding the Fourth Proportional to 9,641.40, 14,454.45 and 6,330.30

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Solution

The fourth proportional to 9,641.40, 14,454.45 and 6,330.30 is: 9,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.40 : 14,454.45 = 6,330.30 : x
  2. Step 2: Convert to fraction form
    9,641.40/14,454.45 = 6,330.30/x
  3. Step 3: Cross multiply
    9,641.40x = 14,454.45 × 6,330.30
  4. Step 4: Simplify right side
    9,641.40x = 91,501,004.84
  5. Step 5: Solve for x
    x = 91,501,004.84/9,641.40
  6. Step 6: Final answer
    x = 9,490.43

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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.