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Finding the Fourth Proportional to 7,844.22, 10,797.03 and 6,502.86

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Solution

The fourth proportional to 7,844.22, 10,797.03 and 6,502.86 is: 8,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.22 : 10,797.03 = 6,502.86 : x
  2. Step 2: Convert to fraction form
    7,844.22/10,797.03 = 6,502.86/x
  3. Step 3: Cross multiply
    7,844.22x = 10,797.03 × 6,502.86
  4. Step 4: Simplify right side
    7,844.22x = 70,211,574.51
  5. Step 5: Solve for x
    x = 70,211,574.51/7,844.22
  6. Step 6: Final answer
    x = 8,950.74

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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.