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Finding the Fourth Proportional to 6,590.19, 9,923.97 and 4,754.01

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Solution

The fourth proportional to 6,590.19, 9,923.97 and 4,754.01 is: 7,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.19 : 9,923.97 = 4,754.01 : x
  2. Step 2: Convert to fraction form
    6,590.19/9,923.97 = 4,754.01/x
  3. Step 3: Cross multiply
    6,590.19x = 9,923.97 × 4,754.01
  4. Step 4: Simplify right side
    6,590.19x = 47,178,652.62
  5. Step 5: Solve for x
    x = 47,178,652.62/6,590.19
  6. Step 6: Final answer
    x = 7,158.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.