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Finding the Fourth Proportional to 7,507.76, 11,264.27 and 2,313.63

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Solution

The fourth proportional to 7,507.76, 11,264.27 and 2,313.63 is: 3,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.76 : 11,264.27 = 2,313.63 : x
  2. Step 2: Convert to fraction form
    7,507.76/11,264.27 = 2,313.63/x
  3. Step 3: Cross multiply
    7,507.76x = 11,264.27 × 2,313.63
  4. Step 4: Simplify right side
    7,507.76x = 26,061,341.43
  5. Step 5: Solve for x
    x = 26,061,341.43/7,507.76
  6. Step 6: Final answer
    x = 3,471.26

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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.