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Finding the Fourth Proportional to 7,857.71, 10,843.71 and 4,320.95

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Solution

The fourth proportional to 7,857.71, 10,843.71 and 4,320.95 is: 5,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.71 : 10,843.71 = 4,320.95 : x
  2. Step 2: Convert to fraction form
    7,857.71/10,843.71 = 4,320.95/x
  3. Step 3: Cross multiply
    7,857.71x = 10,843.71 × 4,320.95
  4. Step 4: Simplify right side
    7,857.71x = 46,855,074.51
  5. Step 5: Solve for x
    x = 46,855,074.51/7,857.71
  6. Step 6: Final answer
    x = 5,962.95

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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.