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Finding the Fourth Proportional to 7,366.56, 10,161.32 and 6,024.16

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Solution

The fourth proportional to 7,366.56, 10,161.32 and 6,024.16 is: 8,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,366.56 : 10,161.32 = 6,024.16 : x
  2. Step 2: Convert to fraction form
    7,366.56/10,161.32 = 6,024.16/x
  3. Step 3: Cross multiply
    7,366.56x = 10,161.32 × 6,024.16
  4. Step 4: Simplify right side
    7,366.56x = 61,213,417.49
  5. Step 5: Solve for x
    x = 61,213,417.49/7,366.56
  6. Step 6: Final answer
    x = 8,309.63

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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.