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Finding the Fourth Proportional to 9,295.89, 12,823.58 and 5,935.17

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Solution

The fourth proportional to 9,295.89, 12,823.58 and 5,935.17 is: 8,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.89 : 12,823.58 = 5,935.17 : x
  2. Step 2: Convert to fraction form
    9,295.89/12,823.58 = 5,935.17/x
  3. Step 3: Cross multiply
    9,295.89x = 12,823.58 × 5,935.17
  4. Step 4: Simplify right side
    9,295.89x = 76,110,097.63
  5. Step 5: Solve for x
    x = 76,110,097.63/9,295.89
  6. Step 6: Final answer
    x = 8,187.50

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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.