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Finding the Fourth Proportional to 8,193.88, 11,312.22 and 5,407.48

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Solution

The fourth proportional to 8,193.88, 11,312.22 and 5,407.48 is: 7,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.88 : 11,312.22 = 5,407.48 : x
  2. Step 2: Convert to fraction form
    8,193.88/11,312.22 = 5,407.48/x
  3. Step 3: Cross multiply
    8,193.88x = 11,312.22 × 5,407.48
  4. Step 4: Simplify right side
    8,193.88x = 61,170,603.41
  5. Step 5: Solve for x
    x = 61,170,603.41/8,193.88
  6. Step 6: Final answer
    x = 7,465.40

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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.