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Finding the Fourth Proportional to 11,124.74, 15,347.25 and 6,646.25

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Solution

The fourth proportional to 11,124.74, 15,347.25 and 6,646.25 is: 9,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,124.74 : 15,347.25 = 6,646.25 : x
  2. Step 2: Convert to fraction form
    11,124.74/15,347.25 = 6,646.25/x
  3. Step 3: Cross multiply
    11,124.74x = 15,347.25 × 6,646.25
  4. Step 4: Simplify right side
    11,124.74x = 102,001,583.58
  5. Step 5: Solve for x
    x = 102,001,583.58/11,124.74
  6. Step 6: Final answer
    x = 9,168.90

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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.