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Finding the Fourth Proportional to 7,827.91, 10,803.02 and 4,291.13

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Solution

The fourth proportional to 7,827.91, 10,803.02 and 4,291.13 is: 5,922.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.91 : 10,803.02 = 4,291.13 : x
  2. Step 2: Convert to fraction form
    7,827.91/10,803.02 = 4,291.13/x
  3. Step 3: Cross multiply
    7,827.91x = 10,803.02 × 4,291.13
  4. Step 4: Simplify right side
    7,827.91x = 46,357,168.76
  5. Step 5: Solve for x
    x = 46,357,168.76/7,827.91
  6. Step 6: Final answer
    x = 5,922.04

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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.