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Finding the Fourth Proportional to 7,588.79, 10,470.06 and 4,230.98

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Solution

The fourth proportional to 7,588.79, 10,470.06 and 4,230.98 is: 5,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.79 : 10,470.06 = 4,230.98 : x
  2. Step 2: Convert to fraction form
    7,588.79/10,470.06 = 4,230.98/x
  3. Step 3: Cross multiply
    7,588.79x = 10,470.06 × 4,230.98
  4. Step 4: Simplify right side
    7,588.79x = 44,298,660.27
  5. Step 5: Solve for x
    x = 44,298,660.27/7,588.79
  6. Step 6: Final answer
    x = 5,837.38

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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.