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Finding the Fourth Proportional to 8,365.85, 11,545.11 and 4,829.25

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Solution

The fourth proportional to 8,365.85, 11,545.11 and 4,829.25 is: 6,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.85 : 11,545.11 = 4,829.25 : x
  2. Step 2: Convert to fraction form
    8,365.85/11,545.11 = 4,829.25/x
  3. Step 3: Cross multiply
    8,365.85x = 11,545.11 × 4,829.25
  4. Step 4: Simplify right side
    8,365.85x = 55,754,222.47
  5. Step 5: Solve for x
    x = 55,754,222.47/8,365.85
  6. Step 6: Final answer
    x = 6,664.50

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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.