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Finding the Fourth Proportional to 5,931.51, 8,186.07 and 5,094.97

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Solution

The fourth proportional to 5,931.51, 8,186.07 and 5,094.97 is: 7,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.51 : 8,186.07 = 5,094.97 : x
  2. Step 2: Convert to fraction form
    5,931.51/8,186.07 = 5,094.97/x
  3. Step 3: Cross multiply
    5,931.51x = 8,186.07 × 5,094.97
  4. Step 4: Simplify right side
    5,931.51x = 41,707,781.07
  5. Step 5: Solve for x
    x = 41,707,781.07/5,931.51
  6. Step 6: Final answer
    x = 7,031.56

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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.