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Finding the Fourth Proportional to 7,369, 10,177.86 and 4,880.68

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Solution

The fourth proportional to 7,369, 10,177.86 and 4,880.68 is: 6,741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,369 : 10,177.86 = 4,880.68 : x
  2. Step 2: Convert to fraction form
    7,369/10,177.86 = 4,880.68/x
  3. Step 3: Cross multiply
    7,369x = 10,177.86 × 4,880.68
  4. Step 4: Simplify right side
    7,369x = 49,674,877.74
  5. Step 5: Solve for x
    x = 49,674,877.74/7,369
  6. Step 6: Final answer
    x = 6,741.06

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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.