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Finding the Fourth Proportional to 9,869.68, 14,804.64 and 5,514.84

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Solution

The fourth proportional to 9,869.68, 14,804.64 and 5,514.84 is: 8,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.68 : 14,804.64 = 5,514.84 : x
  2. Step 2: Convert to fraction form
    9,869.68/14,804.64 = 5,514.84/x
  3. Step 3: Cross multiply
    9,869.68x = 14,804.64 × 5,514.84
  4. Step 4: Simplify right side
    9,869.68x = 81,645,220.86
  5. Step 5: Solve for x
    x = 81,645,220.86/9,869.68
  6. Step 6: Final answer
    x = 8,272.33

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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.