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Finding the Fourth Proportional to 4,506.69, 6,760.22 and 1,547.17

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Solution

The fourth proportional to 4,506.69, 6,760.22 and 1,547.17 is: 2,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.69 : 6,760.22 = 1,547.17 : x
  2. Step 2: Convert to fraction form
    4,506.69/6,760.22 = 1,547.17/x
  3. Step 3: Cross multiply
    4,506.69x = 6,760.22 × 1,547.17
  4. Step 4: Simplify right side
    4,506.69x = 10,459,196.54
  5. Step 5: Solve for x
    x = 10,459,196.54/4,506.69
  6. Step 6: Final answer
    x = 2,320.82

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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.