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Finding the Fourth Proportional to 11,468.61, 15,826.61 and 6,364.07

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Solution

The fourth proportional to 11,468.61, 15,826.61 and 6,364.07 is: 8,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.61 : 15,826.61 = 6,364.07 : x
  2. Step 2: Convert to fraction form
    11,468.61/15,826.61 = 6,364.07/x
  3. Step 3: Cross multiply
    11,468.61x = 15,826.61 × 6,364.07
  4. Step 4: Simplify right side
    11,468.61x = 100,721,653.90
  5. Step 5: Solve for x
    x = 100,721,653.90/11,468.61
  6. Step 6: Final answer
    x = 8,782.38

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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.