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Finding the Fourth Proportional to 6,502.05, 9,746.93 and 5,924.25

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Solution

The fourth proportional to 6,502.05, 9,746.93 and 5,924.25 is: 8,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.05 : 9,746.93 = 5,924.25 : x
  2. Step 2: Convert to fraction form
    6,502.05/9,746.93 = 5,924.25/x
  3. Step 3: Cross multiply
    6,502.05x = 9,746.93 × 5,924.25
  4. Step 4: Simplify right side
    6,502.05x = 57,743,264.86
  5. Step 5: Solve for x
    x = 57,743,264.86/6,502.05
  6. Step 6: Final answer
    x = 8,880.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.