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Finding the Fourth Proportional to 11,570.12, 15,966.78 and 6,264.98

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Solution

The fourth proportional to 11,570.12, 15,966.78 and 6,264.98 is: 8,645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.12 : 15,966.78 = 6,264.98 : x
  2. Step 2: Convert to fraction form
    11,570.12/15,966.78 = 6,264.98/x
  3. Step 3: Cross multiply
    11,570.12x = 15,966.78 × 6,264.98
  4. Step 4: Simplify right side
    11,570.12x = 100,031,557.36
  5. Step 5: Solve for x
    x = 100,031,557.36/11,570.12
  6. Step 6: Final answer
    x = 8,645.68

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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.