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Finding the Fourth Proportional to 5,142.16, 7,668.09 and 5,095.38

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Solution

The fourth proportional to 5,142.16, 7,668.09 and 5,095.38 is: 7,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.16 : 7,668.09 = 5,095.38 : x
  2. Step 2: Convert to fraction form
    5,142.16/7,668.09 = 5,095.38/x
  3. Step 3: Cross multiply
    5,142.16x = 7,668.09 × 5,095.38
  4. Step 4: Simplify right side
    5,142.16x = 39,071,832.42
  5. Step 5: Solve for x
    x = 39,071,832.42/5,142.16
  6. Step 6: Final answer
    x = 7,598.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.