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Finding the Fourth Proportional to 8,259.86, 11,397.92 and 4,533.86

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Solution

The fourth proportional to 8,259.86, 11,397.92 and 4,533.86 is: 6,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.86 : 11,397.92 = 4,533.86 : x
  2. Step 2: Convert to fraction form
    8,259.86/11,397.92 = 4,533.86/x
  3. Step 3: Cross multiply
    8,259.86x = 11,397.92 × 4,533.86
  4. Step 4: Simplify right side
    8,259.86x = 51,676,573.57
  5. Step 5: Solve for x
    x = 51,676,573.57/8,259.86
  6. Step 6: Final answer
    x = 6,256.35

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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.