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Finding the Fourth Proportional to 6,547.42, 9,035.69 and 3,753.46

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Solution

The fourth proportional to 6,547.42, 9,035.69 and 3,753.46 is: 5,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.42 : 9,035.69 = 3,753.46 : x
  2. Step 2: Convert to fraction form
    6,547.42/9,035.69 = 3,753.46/x
  3. Step 3: Cross multiply
    6,547.42x = 9,035.69 × 3,753.46
  4. Step 4: Simplify right side
    6,547.42x = 33,915,100.99
  5. Step 5: Solve for x
    x = 33,915,100.99/6,547.42
  6. Step 6: Final answer
    x = 5,179.92

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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.