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Finding the Fourth Proportional to 10,597.84, 15,898.92 and 4,022.80

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Solution

The fourth proportional to 10,597.84, 15,898.92 and 4,022.80 is: 6,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.84 : 15,898.92 = 4,022.80 : x
  2. Step 2: Convert to fraction form
    10,597.84/15,898.92 = 4,022.80/x
  3. Step 3: Cross multiply
    10,597.84x = 15,898.92 × 4,022.80
  4. Step 4: Simplify right side
    10,597.84x = 63,958,175.38
  5. Step 5: Solve for x
    x = 63,958,175.38/10,597.84
  6. Step 6: Final answer
    x = 6,035.02

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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.