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Finding the Fourth Proportional to 5,095.16, 7,642.58 and 1,447.16

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Solution

The fourth proportional to 5,095.16, 7,642.58 and 1,447.16 is: 2,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.16 : 7,642.58 = 1,447.16 : x
  2. Step 2: Convert to fraction form
    5,095.16/7,642.58 = 1,447.16/x
  3. Step 3: Cross multiply
    5,095.16x = 7,642.58 × 1,447.16
  4. Step 4: Simplify right side
    5,095.16x = 11,060,036.07
  5. Step 5: Solve for x
    x = 11,060,036.07/5,095.16
  6. Step 6: Final answer
    x = 2,170.69

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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.