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Finding the Fourth Proportional to 9,484.98, 14,211.90 and 6,698.14

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Solution

The fourth proportional to 9,484.98, 14,211.90 and 6,698.14 is: 10,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.98 : 14,211.90 = 6,698.14 : x
  2. Step 2: Convert to fraction form
    9,484.98/14,211.90 = 6,698.14/x
  3. Step 3: Cross multiply
    9,484.98x = 14,211.90 × 6,698.14
  4. Step 4: Simplify right side
    9,484.98x = 95,193,295.87
  5. Step 5: Solve for x
    x = 95,193,295.87/9,484.98
  6. Step 6: Final answer
    x = 10,036.21

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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.