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Finding the Fourth Proportional to 8,445.68, 11,656.03 and 7,026.86

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Solution

The fourth proportional to 8,445.68, 11,656.03 and 7,026.86 is: 9,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,445.68 : 11,656.03 = 7,026.86 : x
  2. Step 2: Convert to fraction form
    8,445.68/11,656.03 = 7,026.86/x
  3. Step 3: Cross multiply
    8,445.68x = 11,656.03 × 7,026.86
  4. Step 4: Simplify right side
    8,445.68x = 81,905,302.54
  5. Step 5: Solve for x
    x = 81,905,302.54/8,445.68
  6. Step 6: Final answer
    x = 9,697.89

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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.