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Finding the Fourth Proportional to 9,293.59, 12,823.88 and 5,314.97

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Solution

The fourth proportional to 9,293.59, 12,823.88 and 5,314.97 is: 7,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.59 : 12,823.88 = 5,314.97 : x
  2. Step 2: Convert to fraction form
    9,293.59/12,823.88 = 5,314.97/x
  3. Step 3: Cross multiply
    9,293.59x = 12,823.88 × 5,314.97
  4. Step 4: Simplify right side
    9,293.59x = 68,158,537.48
  5. Step 5: Solve for x
    x = 68,158,537.48/9,293.59
  6. Step 6: Final answer
    x = 7,333.93

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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.