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Finding the Fourth Proportional to 7,823.11, 11,664.89 and 6,953.78

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Solution

The fourth proportional to 7,823.11, 11,664.89 and 6,953.78 is: 10,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.11 : 11,664.89 = 6,953.78 : x
  2. Step 2: Convert to fraction form
    7,823.11/11,664.89 = 6,953.78/x
  3. Step 3: Cross multiply
    7,823.11x = 11,664.89 × 6,953.78
  4. Step 4: Simplify right side
    7,823.11x = 81,115,044.02
  5. Step 5: Solve for x
    x = 81,115,044.02/7,823.11
  6. Step 6: Final answer
    x = 10,368.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.