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Finding the Fourth Proportional to 7,853.88, 10,834.74 and 5,019.84

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Solution

The fourth proportional to 7,853.88, 10,834.74 and 5,019.84 is: 6,925.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.88 : 10,834.74 = 5,019.84 : x
  2. Step 2: Convert to fraction form
    7,853.88/10,834.74 = 5,019.84/x
  3. Step 3: Cross multiply
    7,853.88x = 10,834.74 × 5,019.84
  4. Step 4: Simplify right side
    7,853.88x = 54,388,661.24
  5. Step 5: Solve for x
    x = 54,388,661.24/7,853.88
  6. Step 6: Final answer
    x = 6,925.07

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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.