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Finding the Fourth Proportional to 7,264.76, 10,031 and 5,583.48

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Solution

The fourth proportional to 7,264.76, 10,031 and 5,583.48 is: 7,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.76 : 10,031 = 5,583.48 : x
  2. Step 2: Convert to fraction form
    7,264.76/10,031 = 5,583.48/x
  3. Step 3: Cross multiply
    7,264.76x = 10,031 × 5,583.48
  4. Step 4: Simplify right side
    7,264.76x = 56,007,887.88
  5. Step 5: Solve for x
    x = 56,007,887.88/7,264.76
  6. Step 6: Final answer
    x = 7,709.53

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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.