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Finding the Fourth Proportional to 9,285, 12,813.33 and 5,036.13

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Solution

The fourth proportional to 9,285, 12,813.33 and 5,036.13 is: 6,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285 : 12,813.33 = 5,036.13 : x
  2. Step 2: Convert to fraction form
    9,285/12,813.33 = 5,036.13/x
  3. Step 3: Cross multiply
    9,285x = 12,813.33 × 5,036.13
  4. Step 4: Simplify right side
    9,285x = 64,529,595.61
  5. Step 5: Solve for x
    x = 64,529,595.61/9,285
  6. Step 6: Final answer
    x = 6,949.88

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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.