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Finding the Fourth Proportional to 10,851.65, 14,983.77 and 8,329.77

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Solution

The fourth proportional to 10,851.65, 14,983.77 and 8,329.77 is: 11,501.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.65 : 14,983.77 = 8,329.77 : x
  2. Step 2: Convert to fraction form
    10,851.65/14,983.77 = 8,329.77/x
  3. Step 3: Cross multiply
    10,851.65x = 14,983.77 × 8,329.77
  4. Step 4: Simplify right side
    10,851.65x = 124,811,389.07
  5. Step 5: Solve for x
    x = 124,811,389.07/10,851.65
  6. Step 6: Final answer
    x = 11,501.61

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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.