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Finding the Fourth Proportional to 10,814.56, 14,927.82 and 6,339.76

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Solution

The fourth proportional to 10,814.56, 14,927.82 and 6,339.76 is: 8,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.56 : 14,927.82 = 6,339.76 : x
  2. Step 2: Convert to fraction form
    10,814.56/14,927.82 = 6,339.76/x
  3. Step 3: Cross multiply
    10,814.56x = 14,927.82 × 6,339.76
  4. Step 4: Simplify right side
    10,814.56x = 94,638,796.12
  5. Step 5: Solve for x
    x = 94,638,796.12/10,814.56
  6. Step 6: Final answer
    x = 8,751.05

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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.