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Finding the Fourth Proportional to 9,901.77, 14,844.50 and 8,048.25

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Solution

The fourth proportional to 9,901.77, 14,844.50 and 8,048.25 is: 12,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.77 : 14,844.50 = 8,048.25 : x
  2. Step 2: Convert to fraction form
    9,901.77/14,844.50 = 8,048.25/x
  3. Step 3: Cross multiply
    9,901.77x = 14,844.50 × 8,048.25
  4. Step 4: Simplify right side
    9,901.77x = 119,472,206.88
  5. Step 5: Solve for x
    x = 119,472,206.88/9,901.77
  6. Step 6: Final answer
    x = 12,065.74

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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.