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Finding the Fourth Proportional to 6,091, 8,402.34 and 4,098.16

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Solution

The fourth proportional to 6,091, 8,402.34 and 4,098.16 is: 5,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091 : 8,402.34 = 4,098.16 : x
  2. Step 2: Convert to fraction form
    6,091/8,402.34 = 4,098.16/x
  3. Step 3: Cross multiply
    6,091x = 8,402.34 × 4,098.16
  4. Step 4: Simplify right side
    6,091x = 34,434,133.69
  5. Step 5: Solve for x
    x = 34,434,133.69/6,091
  6. Step 6: Final answer
    x = 5,653.28

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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.