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Finding the Fourth Proportional to 9,675.94, 14,496.90 and 6,898.46

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Solution

The fourth proportional to 9,675.94, 14,496.90 and 6,898.46 is: 10,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.94 : 14,496.90 = 6,898.46 : x
  2. Step 2: Convert to fraction form
    9,675.94/14,496.90 = 6,898.46/x
  3. Step 3: Cross multiply
    9,675.94x = 14,496.90 × 6,898.46
  4. Step 4: Simplify right side
    9,675.94x = 100,006,284.77
  5. Step 5: Solve for x
    x = 100,006,284.77/9,675.94
  6. Step 6: Final answer
    x = 10,335.56

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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.