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Finding the Fourth Proportional to 12,024, 16,597.62 and 9,048.42

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Solution

The fourth proportional to 12,024, 16,597.62 and 9,048.42 is: 12,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024 : 16,597.62 = 9,048.42 : x
  2. Step 2: Convert to fraction form
    12,024/16,597.62 = 9,048.42/x
  3. Step 3: Cross multiply
    12,024x = 16,597.62 × 9,048.42
  4. Step 4: Simplify right side
    12,024x = 150,182,236.76
  5. Step 5: Solve for x
    x = 150,182,236.76/12,024
  6. Step 6: Final answer
    x = 12,490.21

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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.