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Finding the Fourth Proportional to 7,834.24, 10,810.24 and 4,297.24

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Solution

The fourth proportional to 7,834.24, 10,810.24 and 4,297.24 is: 5,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.24 : 10,810.24 = 4,297.24 : x
  2. Step 2: Convert to fraction form
    7,834.24/10,810.24 = 4,297.24/x
  3. Step 3: Cross multiply
    7,834.24x = 10,810.24 × 4,297.24
  4. Step 4: Simplify right side
    7,834.24x = 46,454,195.74
  5. Step 5: Solve for x
    x = 46,454,195.74/7,834.24
  6. Step 6: Final answer
    x = 5,929.64

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1.5x scale

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.