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Finding the Fourth Proportional to 7,578.92, 11,368.10 and 2,313.72

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Solution

The fourth proportional to 7,578.92, 11,368.10 and 2,313.72 is: 3,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.92 : 11,368.10 = 2,313.72 : x
  2. Step 2: Convert to fraction form
    7,578.92/11,368.10 = 2,313.72/x
  3. Step 3: Cross multiply
    7,578.92x = 11,368.10 × 2,313.72
  4. Step 4: Simplify right side
    7,578.92x = 26,302,606.12
  5. Step 5: Solve for x
    x = 26,302,606.12/7,578.92
  6. Step 6: Final answer
    x = 3,470.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.