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Finding the Fourth Proportional to 7,649.82, 10,547.55 and 5,948.82

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Solution

The fourth proportional to 7,649.82, 10,547.55 and 5,948.82 is: 8,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.82 : 10,547.55 = 5,948.82 : x
  2. Step 2: Convert to fraction form
    7,649.82/10,547.55 = 5,948.82/x
  3. Step 3: Cross multiply
    7,649.82x = 10,547.55 × 5,948.82
  4. Step 4: Simplify right side
    7,649.82x = 62,745,476.39
  5. Step 5: Solve for x
    x = 62,745,476.39/7,649.82
  6. Step 6: Final answer
    x = 8,202.22

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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.