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Finding the Fourth Proportional to 9,547.17, 13,175.06 and 5,821.17

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Solution

The fourth proportional to 9,547.17, 13,175.06 and 5,821.17 is: 8,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.17 : 13,175.06 = 5,821.17 : x
  2. Step 2: Convert to fraction form
    9,547.17/13,175.06 = 5,821.17/x
  3. Step 3: Cross multiply
    9,547.17x = 13,175.06 × 5,821.17
  4. Step 4: Simplify right side
    9,547.17x = 76,694,234.91
  5. Step 5: Solve for x
    x = 76,694,234.91/9,547.17
  6. Step 6: Final answer
    x = 8,033.19

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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.