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Finding the Fourth Proportional to 7,860.94, 10,848 and 4,324.12

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Solution

The fourth proportional to 7,860.94, 10,848 and 4,324.12 is: 5,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.94 : 10,848 = 4,324.12 : x
  2. Step 2: Convert to fraction form
    7,860.94/10,848 = 4,324.12/x
  3. Step 3: Cross multiply
    7,860.94x = 10,848 × 4,324.12
  4. Step 4: Simplify right side
    7,860.94x = 46,908,053.76
  5. Step 5: Solve for x
    x = 46,908,053.76/7,860.94
  6. Step 6: Final answer
    x = 5,967.23

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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.