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Finding the Fourth Proportional to 6,874.16, 9,486.99 and 4,185.16

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Solution

The fourth proportional to 6,874.16, 9,486.99 and 4,185.16 is: 5,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.16 : 9,486.99 = 4,185.16 : x
  2. Step 2: Convert to fraction form
    6,874.16/9,486.99 = 4,185.16/x
  3. Step 3: Cross multiply
    6,874.16x = 9,486.99 × 4,185.16
  4. Step 4: Simplify right side
    6,874.16x = 39,704,547.35
  5. Step 5: Solve for x
    x = 39,704,547.35/6,874.16
  6. Step 6: Final answer
    x = 5,775.92

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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.