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Finding the Fourth Proportional to 7,046, 10,565.84 and 3,758.32

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Solution

The fourth proportional to 7,046, 10,565.84 and 3,758.32 is: 5,635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046 : 10,565.84 = 3,758.32 : x
  2. Step 2: Convert to fraction form
    7,046/10,565.84 = 3,758.32/x
  3. Step 3: Cross multiply
    7,046x = 10,565.84 × 3,758.32
  4. Step 4: Simplify right side
    7,046x = 39,709,807.79
  5. Step 5: Solve for x
    x = 39,709,807.79/7,046
  6. Step 6: Final answer
    x = 5,635.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.