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Finding the Fourth Proportional to 7,851.06, 10,834.02 and 4,827.33

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Solution

The fourth proportional to 7,851.06, 10,834.02 and 4,827.33 is: 6,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.06 : 10,834.02 = 4,827.33 : x
  2. Step 2: Convert to fraction form
    7,851.06/10,834.02 = 4,827.33/x
  3. Step 3: Cross multiply
    7,851.06x = 10,834.02 × 4,827.33
  4. Step 4: Simplify right side
    7,851.06x = 52,299,389.77
  5. Step 5: Solve for x
    x = 52,299,389.77/7,851.06
  6. Step 6: Final answer
    x = 6,661.44

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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.