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Finding the Fourth Proportional to 10,730.53, 14,803.82 and 6,694.98

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Solution

The fourth proportional to 10,730.53, 14,803.82 and 6,694.98 is: 9,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.53 : 14,803.82 = 6,694.98 : x
  2. Step 2: Convert to fraction form
    10,730.53/14,803.82 = 6,694.98/x
  3. Step 3: Cross multiply
    10,730.53x = 14,803.82 × 6,694.98
  4. Step 4: Simplify right side
    10,730.53x = 99,111,278.82
  5. Step 5: Solve for x
    x = 99,111,278.82/10,730.53
  6. Step 6: Final answer
    x = 9,236.38

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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.