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Finding the Fourth Proportional to 9,637.95, 14,465.31 and 5,486.31

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Solution

The fourth proportional to 9,637.95, 14,465.31 and 5,486.31 is: 8,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.95 : 14,465.31 = 5,486.31 : x
  2. Step 2: Convert to fraction form
    9,637.95/14,465.31 = 5,486.31/x
  3. Step 3: Cross multiply
    9,637.95x = 14,465.31 × 5,486.31
  4. Step 4: Simplify right side
    9,637.95x = 79,361,174.91
  5. Step 5: Solve for x
    x = 79,361,174.91/9,637.95
  6. Step 6: Final answer
    x = 8,234.24

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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.