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Finding the Fourth Proportional to 7,902.25, 10,905.10 and 4,365.46

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Solution

The fourth proportional to 7,902.25, 10,905.10 and 4,365.46 is: 6,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.25 : 10,905.10 = 4,365.46 : x
  2. Step 2: Convert to fraction form
    7,902.25/10,905.10 = 4,365.46/x
  3. Step 3: Cross multiply
    7,902.25x = 10,905.10 × 4,365.46
  4. Step 4: Simplify right side
    7,902.25x = 47,605,743.77
  5. Step 5: Solve for x
    x = 47,605,743.77/7,902.25
  6. Step 6: Final answer
    x = 6,024.33

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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.