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Finding the Fourth Proportional to 12,048, 16,628.16 and 7,079.04

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Solution

The fourth proportional to 12,048, 16,628.16 and 7,079.04 is: 9,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048 : 16,628.16 = 7,079.04 : x
  2. Step 2: Convert to fraction form
    12,048/16,628.16 = 7,079.04/x
  3. Step 3: Cross multiply
    12,048x = 16,628.16 × 7,079.04
  4. Step 4: Simplify right side
    12,048x = 117,711,409.77
  5. Step 5: Solve for x
    x = 117,711,409.77/12,048
  6. Step 6: Final answer
    x = 9,770.20

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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.