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Finding the Fourth Proportional to 6,191.42, 8,534.16 and 5,070.38

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Solution

The fourth proportional to 6,191.42, 8,534.16 and 5,070.38 is: 6,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.42 : 8,534.16 = 5,070.38 : x
  2. Step 2: Convert to fraction form
    6,191.42/8,534.16 = 5,070.38/x
  3. Step 3: Cross multiply
    6,191.42x = 8,534.16 × 5,070.38
  4. Step 4: Simplify right side
    6,191.42x = 43,271,391.51
  5. Step 5: Solve for x
    x = 43,271,391.51/6,191.42
  6. Step 6: Final answer
    x = 6,988.93

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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.