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Finding the Fourth Proportional to 10,507.05, 14,490.18 and 6,964.11

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Solution

The fourth proportional to 10,507.05, 14,490.18 and 6,964.11 is: 9,604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.05 : 14,490.18 = 6,964.11 : x
  2. Step 2: Convert to fraction form
    10,507.05/14,490.18 = 6,964.11/x
  3. Step 3: Cross multiply
    10,507.05x = 14,490.18 × 6,964.11
  4. Step 4: Simplify right side
    10,507.05x = 100,911,207.44
  5. Step 5: Solve for x
    x = 100,911,207.44/10,507.05
  6. Step 6: Final answer
    x = 9,604.14

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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.