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Finding the Fourth Proportional to 11,570.18, 15,966.86 and 6,264.99

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Solution

The fourth proportional to 11,570.18, 15,966.86 and 6,264.99 is: 8,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.18 : 15,966.86 = 6,264.99 : x
  2. Step 2: Convert to fraction form
    11,570.18/15,966.86 = 6,264.99/x
  3. Step 3: Cross multiply
    11,570.18x = 15,966.86 × 6,264.99
  4. Step 4: Simplify right side
    11,570.18x = 100,032,186.91
  5. Step 5: Solve for x
    x = 100,032,186.91/11,570.18
  6. Step 6: Final answer
    x = 8,645.69

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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.