Home / 7,782.24-10,734.16-4,636

Finding the Fourth Proportional to 7,782.24, 10,734.16 and 4,636

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Solution

The fourth proportional to 7,782.24, 10,734.16 and 4,636 is: 6,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.24 : 10,734.16 = 4,636 : x
  2. Step 2: Convert to fraction form
    7,782.24/10,734.16 = 4,636/x
  3. Step 3: Cross multiply
    7,782.24x = 10,734.16 × 4,636
  4. Step 4: Simplify right side
    7,782.24x = 49,763,565.76
  5. Step 5: Solve for x
    x = 49,763,565.76/7,782.24
  6. Step 6: Final answer
    x = 6,394.50

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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.