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Finding the Fourth Proportional to 9,285.30, 12,815.49 and 7,264.70

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Solution

The fourth proportional to 9,285.30, 12,815.49 and 7,264.70 is: 10,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.30 : 12,815.49 = 7,264.70 : x
  2. Step 2: Convert to fraction form
    9,285.30/12,815.49 = 7,264.70/x
  3. Step 3: Cross multiply
    9,285.30x = 12,815.49 × 7,264.70
  4. Step 4: Simplify right side
    9,285.30x = 93,100,626.13
  5. Step 5: Solve for x
    x = 93,100,626.13/9,285.30
  6. Step 6: Final answer
    x = 10,026.67

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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.