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Finding the Fourth Proportional to 11,646.50, 16,053.44 and 7,868.48

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Solution

The fourth proportional to 11,646.50, 16,053.44 and 7,868.48 is: 10,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.50 : 16,053.44 = 7,868.48 : x
  2. Step 2: Convert to fraction form
    11,646.50/16,053.44 = 7,868.48/x
  3. Step 3: Cross multiply
    11,646.50x = 16,053.44 × 7,868.48
  4. Step 4: Simplify right side
    11,646.50x = 126,316,051.96
  5. Step 5: Solve for x
    x = 126,316,051.96/11,646.50
  6. Step 6: Final answer
    x = 10,845.84

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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.