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Finding the Fourth Proportional to 9,904.65, 14,846.98 and 6,209.48

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Solution

The fourth proportional to 9,904.65, 14,846.98 and 6,209.48 is: 9,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.65 : 14,846.98 = 6,209.48 : x
  2. Step 2: Convert to fraction form
    9,904.65/14,846.98 = 6,209.48/x
  3. Step 3: Cross multiply
    9,904.65x = 14,846.98 × 6,209.48
  4. Step 4: Simplify right side
    9,904.65x = 92,191,951.14
  5. Step 5: Solve for x
    x = 92,191,951.14/9,904.65
  6. Step 6: Final answer
    x = 9,307.95

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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.