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Finding the Fourth Proportional to 7,233.60, 9,970.83 and 5,905.02

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Solution

The fourth proportional to 7,233.60, 9,970.83 and 5,905.02 is: 8,139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.60 : 9,970.83 = 5,905.02 : x
  2. Step 2: Convert to fraction form
    7,233.60/9,970.83 = 5,905.02/x
  3. Step 3: Cross multiply
    7,233.60x = 9,970.83 × 5,905.02
  4. Step 4: Simplify right side
    7,233.60x = 58,877,950.57
  5. Step 5: Solve for x
    x = 58,877,950.57/7,233.60
  6. Step 6: Final answer
    x = 8,139.51

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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.