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Finding the Fourth Proportional to 10,703.50, 14,765.84 and 6,927.88

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Solution

The fourth proportional to 10,703.50, 14,765.84 and 6,927.88 is: 9,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.50 : 14,765.84 = 6,927.88 : x
  2. Step 2: Convert to fraction form
    10,703.50/14,765.84 = 6,927.88/x
  3. Step 3: Cross multiply
    10,703.50x = 14,765.84 × 6,927.88
  4. Step 4: Simplify right side
    10,703.50x = 102,295,967.62
  5. Step 5: Solve for x
    x = 102,295,967.62/10,703.50
  6. Step 6: Final answer
    x = 9,557.24

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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.