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Finding the Fourth Proportional to 11,353.65, 15,653.97 and 7,313.64

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Solution

The fourth proportional to 11,353.65, 15,653.97 and 7,313.64 is: 10,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.65 : 15,653.97 = 7,313.64 : x
  2. Step 2: Convert to fraction form
    11,353.65/15,653.97 = 7,313.64/x
  3. Step 3: Cross multiply
    11,353.65x = 15,653.97 × 7,313.64
  4. Step 4: Simplify right side
    11,353.65x = 114,487,501.15
  5. Step 5: Solve for x
    x = 114,487,501.15/11,353.65
  6. Step 6: Final answer
    x = 10,083.76

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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.