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Finding the Fourth Proportional to 6,159.70, 9,230.10 and 4,592.35

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Solution

The fourth proportional to 6,159.70, 9,230.10 and 4,592.35 is: 6,881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.70 : 9,230.10 = 4,592.35 : x
  2. Step 2: Convert to fraction form
    6,159.70/9,230.10 = 4,592.35/x
  3. Step 3: Cross multiply
    6,159.70x = 9,230.10 × 4,592.35
  4. Step 4: Simplify right side
    6,159.70x = 42,387,849.74
  5. Step 5: Solve for x
    x = 42,387,849.74/6,159.70
  6. Step 6: Final answer
    x = 6,881.48

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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.