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Finding the Fourth Proportional to 9,153.77, 13,730.65 and 3,309.01

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Solution

The fourth proportional to 9,153.77, 13,730.65 and 3,309.01 is: 4,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.77 : 13,730.65 = 3,309.01 : x
  2. Step 2: Convert to fraction form
    9,153.77/13,730.65 = 3,309.01/x
  3. Step 3: Cross multiply
    9,153.77x = 13,730.65 × 3,309.01
  4. Step 4: Simplify right side
    9,153.77x = 45,434,879.46
  5. Step 5: Solve for x
    x = 45,434,879.46/9,153.77
  6. Step 6: Final answer
    x = 4,963.52

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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.