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Finding the Fourth Proportional to 7,674.31, 10,590.49 and 4,362.31

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Solution

The fourth proportional to 7,674.31, 10,590.49 and 4,362.31 is: 6,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.31 : 10,590.49 = 4,362.31 : x
  2. Step 2: Convert to fraction form
    7,674.31/10,590.49 = 4,362.31/x
  3. Step 3: Cross multiply
    7,674.31x = 10,590.49 × 4,362.31
  4. Step 4: Simplify right side
    7,674.31x = 46,199,000.43
  5. Step 5: Solve for x
    x = 46,199,000.43/7,674.31
  6. Step 6: Final answer
    x = 6,019.95

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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.