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Finding the Fourth Proportional to 9,225, 12,730.46 and 5,033.24

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Solution

The fourth proportional to 9,225, 12,730.46 and 5,033.24 is: 6,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225 : 12,730.46 = 5,033.24 : x
  2. Step 2: Convert to fraction form
    9,225/12,730.46 = 5,033.24/x
  3. Step 3: Cross multiply
    9,225x = 12,730.46 × 5,033.24
  4. Step 4: Simplify right side
    9,225x = 64,075,460.49
  5. Step 5: Solve for x
    x = 64,075,460.49/9,225
  6. Step 6: Final answer
    x = 6,945.85

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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.