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Finding the Fourth Proportional to 9,894.32, 14,828.74 and 7,409.68

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Solution

The fourth proportional to 9,894.32, 14,828.74 and 7,409.68 is: 11,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.32 : 14,828.74 = 7,409.68 : x
  2. Step 2: Convert to fraction form
    9,894.32/14,828.74 = 7,409.68/x
  3. Step 3: Cross multiply
    9,894.32x = 14,828.74 × 7,409.68
  4. Step 4: Simplify right side
    9,894.32x = 109,876,218.20
  5. Step 5: Solve for x
    x = 109,876,218.20/9,894.32
  6. Step 6: Final answer
    x = 11,104.98

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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.