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Finding the Fourth Proportional to 9,552.80, 14,329.20 and 4,004.30

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Solution

The fourth proportional to 9,552.80, 14,329.20 and 4,004.30 is: 6,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.80 : 14,329.20 = 4,004.30 : x
  2. Step 2: Convert to fraction form
    9,552.80/14,329.20 = 4,004.30/x
  3. Step 3: Cross multiply
    9,552.80x = 14,329.20 × 4,004.30
  4. Step 4: Simplify right side
    9,552.80x = 57,378,415.56
  5. Step 5: Solve for x
    x = 57,378,415.56/9,552.80
  6. Step 6: Final answer
    x = 6,006.45

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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.