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Finding the Fourth Proportional to 11,624.40, 16,041.74 and 6,844.52

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Solution

The fourth proportional to 11,624.40, 16,041.74 and 6,844.52 is: 9,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.40 : 16,041.74 = 6,844.52 : x
  2. Step 2: Convert to fraction form
    11,624.40/16,041.74 = 6,844.52/x
  3. Step 3: Cross multiply
    11,624.40x = 16,041.74 × 6,844.52
  4. Step 4: Simplify right side
    11,624.40x = 109,798,010.26
  5. Step 5: Solve for x
    x = 109,798,010.26/11,624.40
  6. Step 6: Final answer
    x = 9,445.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.