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Finding the Fourth Proportional to 8,051.74, 11,114.88 and 7,547.37

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Solution

The fourth proportional to 8,051.74, 11,114.88 and 7,547.37 is: 10,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.74 : 11,114.88 = 7,547.37 : x
  2. Step 2: Convert to fraction form
    8,051.74/11,114.88 = 7,547.37/x
  3. Step 3: Cross multiply
    8,051.74x = 11,114.88 × 7,547.37
  4. Step 4: Simplify right side
    8,051.74x = 83,888,098.49
  5. Step 5: Solve for x
    x = 83,888,098.49/8,051.74
  6. Step 6: Final answer
    x = 10,418.63

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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.