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Finding the Fourth Proportional to 9,409.98, 14,116.86 and 4,733.04

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Solution

The fourth proportional to 9,409.98, 14,116.86 and 4,733.04 is: 7,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.98 : 14,116.86 = 4,733.04 : x
  2. Step 2: Convert to fraction form
    9,409.98/14,116.86 = 4,733.04/x
  3. Step 3: Cross multiply
    9,409.98x = 14,116.86 × 4,733.04
  4. Step 4: Simplify right side
    9,409.98x = 66,815,663.05
  5. Step 5: Solve for x
    x = 66,815,663.05/9,409.98
  6. Step 6: Final answer
    x = 7,100.51

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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.