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Finding the Fourth Proportional to 11,463.89, 15,827.07 and 7,491.65

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Solution

The fourth proportional to 11,463.89, 15,827.07 and 7,491.65 is: 10,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.89 : 15,827.07 = 7,491.65 : x
  2. Step 2: Convert to fraction form
    11,463.89/15,827.07 = 7,491.65/x
  3. Step 3: Cross multiply
    11,463.89x = 15,827.07 × 7,491.65
  4. Step 4: Simplify right side
    11,463.89x = 118,570,868.97
  5. Step 5: Solve for x
    x = 118,570,868.97/11,463.89
  6. Step 6: Final answer
    x = 10,342.99

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Double scale
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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.