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Finding the Fourth Proportional to 7,041.67, 9,665.74 and 6,227.15

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Solution

The fourth proportional to 7,041.67, 9,665.74 and 6,227.15 is: 8,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.67 : 9,665.74 = 6,227.15 : x
  2. Step 2: Convert to fraction form
    7,041.67/9,665.74 = 6,227.15/x
  3. Step 3: Cross multiply
    7,041.67x = 9,665.74 × 6,227.15
  4. Step 4: Simplify right side
    7,041.67x = 60,190,012.84
  5. Step 5: Solve for x
    x = 60,190,012.84/7,041.67
  6. Step 6: Final answer
    x = 8,547.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.