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Finding the Fourth Proportional to 7,597.05, 10,480.77 and 5,046

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Solution

The fourth proportional to 7,597.05, 10,480.77 and 5,046 is: 6,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.05 : 10,480.77 = 5,046 : x
  2. Step 2: Convert to fraction form
    7,597.05/10,480.77 = 5,046/x
  3. Step 3: Cross multiply
    7,597.05x = 10,480.77 × 5,046
  4. Step 4: Simplify right side
    7,597.05x = 52,885,965.42
  5. Step 5: Solve for x
    x = 52,885,965.42/7,597.05
  6. Step 6: Final answer
    x = 6,961.38

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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.