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Finding the Fourth Proportional to 9,766.46, 14,653.79 and 6,071.79

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Solution

The fourth proportional to 9,766.46, 14,653.79 and 6,071.79 is: 9,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.46 : 14,653.79 = 6,071.79 : x
  2. Step 2: Convert to fraction form
    9,766.46/14,653.79 = 6,071.79/x
  3. Step 3: Cross multiply
    9,766.46x = 14,653.79 × 6,071.79
  4. Step 4: Simplify right side
    9,766.46x = 88,974,705.23
  5. Step 5: Solve for x
    x = 88,974,705.23/9,766.46
  6. Step 6: Final answer
    x = 9,110.24

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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.