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Finding the Fourth Proportional to 8,364.96, 11,543.22 and 5,009.61

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Solution

The fourth proportional to 8,364.96, 11,543.22 and 5,009.61 is: 6,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.96 : 11,543.22 = 5,009.61 : x
  2. Step 2: Convert to fraction form
    8,364.96/11,543.22 = 5,009.61/x
  3. Step 3: Cross multiply
    8,364.96x = 11,543.22 × 5,009.61
  4. Step 4: Simplify right side
    8,364.96x = 57,827,030.34
  5. Step 5: Solve for x
    x = 57,827,030.34/8,364.96
  6. Step 6: Final answer
    x = 6,913.01

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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.