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Finding the Fourth Proportional to 9,295.87, 12,828.32 and 5,046.93

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Solution

The fourth proportional to 9,295.87, 12,828.32 and 5,046.93 is: 6,964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.87 : 12,828.32 = 5,046.93 : x
  2. Step 2: Convert to fraction form
    9,295.87/12,828.32 = 5,046.93/x
  3. Step 3: Cross multiply
    9,295.87x = 12,828.32 × 5,046.93
  4. Step 4: Simplify right side
    9,295.87x = 64,743,633.06
  5. Step 5: Solve for x
    x = 64,743,633.06/9,295.87
  6. Step 6: Final answer
    x = 6,964.77

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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.