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Finding the Fourth Proportional to 10,751.46, 14,837.06 and 6,035.76

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Solution

The fourth proportional to 10,751.46, 14,837.06 and 6,035.76 is: 8,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.46 : 14,837.06 = 6,035.76 : x
  2. Step 2: Convert to fraction form
    10,751.46/14,837.06 = 6,035.76/x
  3. Step 3: Cross multiply
    10,751.46x = 14,837.06 × 6,035.76
  4. Step 4: Simplify right side
    10,751.46x = 89,552,933.27
  5. Step 5: Solve for x
    x = 89,552,933.27/10,751.46
  6. Step 6: Final answer
    x = 8,329.37

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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.