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Finding the Fourth Proportional to 9,670.28, 14,507.24 and 6,890.05

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Solution

The fourth proportional to 9,670.28, 14,507.24 and 6,890.05 is: 10,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.28 : 14,507.24 = 6,890.05 : x
  2. Step 2: Convert to fraction form
    9,670.28/14,507.24 = 6,890.05/x
  3. Step 3: Cross multiply
    9,670.28x = 14,507.24 × 6,890.05
  4. Step 4: Simplify right side
    9,670.28x = 99,955,691.58
  5. Step 5: Solve for x
    x = 99,955,691.58/9,670.28
  6. Step 6: Final answer
    x = 10,336.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.