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Finding the Fourth Proportional to 10,480.41, 14,454.86 and 7,646.65

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Solution

The fourth proportional to 10,480.41, 14,454.86 and 7,646.65 is: 10,546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.41 : 14,454.86 = 7,646.65 : x
  2. Step 2: Convert to fraction form
    10,480.41/14,454.86 = 7,646.65/x
  3. Step 3: Cross multiply
    10,480.41x = 14,454.86 × 7,646.65
  4. Step 4: Simplify right side
    10,480.41x = 110,531,262.16
  5. Step 5: Solve for x
    x = 110,531,262.16/10,480.41
  6. Step 6: Final answer
    x = 10,546.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.