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Finding the Fourth Proportional to 11,357, 15,674.88 and 6,642.19

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Solution

The fourth proportional to 11,357, 15,674.88 and 6,642.19 is: 9,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357 : 15,674.88 = 6,642.19 : x
  2. Step 2: Convert to fraction form
    11,357/15,674.88 = 6,642.19/x
  3. Step 3: Cross multiply
    11,357x = 15,674.88 × 6,642.19
  4. Step 4: Simplify right side
    11,357x = 104,115,531.19
  5. Step 5: Solve for x
    x = 104,115,531.19/11,357
  6. Step 6: Final answer
    x = 9,167.52

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Double scale
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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.