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Finding the Fourth Proportional to 6,904.09, 9,516.28 and 4,884.90

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Solution

The fourth proportional to 6,904.09, 9,516.28 and 4,884.90 is: 6,733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.09 : 9,516.28 = 4,884.90 : x
  2. Step 2: Convert to fraction form
    6,904.09/9,516.28 = 4,884.90/x
  3. Step 3: Cross multiply
    6,904.09x = 9,516.28 × 4,884.90
  4. Step 4: Simplify right side
    6,904.09x = 46,486,076.17
  5. Step 5: Solve for x
    x = 46,486,076.17/6,904.09
  6. Step 6: Final answer
    x = 6,733.12

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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.