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Finding the Fourth Proportional to 17,692.39, 26,547.90 and 7,838.47

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Solution

The fourth proportional to 17,692.39, 26,547.90 and 7,838.47 is: 11,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692.39 : 26,547.90 = 7,838.47 : x
  2. Step 2: Convert to fraction form
    17,692.39/26,547.90 = 7,838.47/x
  3. Step 3: Cross multiply
    17,692.39x = 26,547.90 × 7,838.47
  4. Step 4: Simplify right side
    17,692.39x = 208,094,917.71
  5. Step 5: Solve for x
    x = 208,094,917.71/17,692.39
  6. Step 6: Final answer
    x = 11,761.83

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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.