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Finding the Fourth Proportional to 16,148.25, 24,221.48 and 5,053.64

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Solution

The fourth proportional to 16,148.25, 24,221.48 and 5,053.64 is: 7,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.25 : 24,221.48 = 5,053.64 : x
  2. Step 2: Convert to fraction form
    16,148.25/24,221.48 = 5,053.64/x
  3. Step 3: Cross multiply
    16,148.25x = 24,221.48 × 5,053.64
  4. Step 4: Simplify right side
    16,148.25x = 122,406,493.81
  5. Step 5: Solve for x
    x = 122,406,493.81/16,148.25
  6. Step 6: Final answer
    x = 7,580.17

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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.