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Finding the Fourth Proportional to 10,637.64, 14,680.62 and 5,922.24

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Solution

The fourth proportional to 10,637.64, 14,680.62 and 5,922.24 is: 8,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.64 : 14,680.62 = 5,922.24 : x
  2. Step 2: Convert to fraction form
    10,637.64/14,680.62 = 5,922.24/x
  3. Step 3: Cross multiply
    10,637.64x = 14,680.62 × 5,922.24
  4. Step 4: Simplify right side
    10,637.64x = 86,942,154.99
  5. Step 5: Solve for x
    x = 86,942,154.99/10,637.64
  6. Step 6: Final answer
    x = 8,173.07

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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.