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Finding the Fourth Proportional to 6,825.49, 9,416.02 and 4,934.07

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Solution

The fourth proportional to 6,825.49, 9,416.02 and 4,934.07 is: 6,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.49 : 9,416.02 = 4,934.07 : x
  2. Step 2: Convert to fraction form
    6,825.49/9,416.02 = 4,934.07/x
  3. Step 3: Cross multiply
    6,825.49x = 9,416.02 × 4,934.07
  4. Step 4: Simplify right side
    6,825.49x = 46,459,301.80
  5. Step 5: Solve for x
    x = 46,459,301.80/6,825.49
  6. Step 6: Final answer
    x = 6,806.74

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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.