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Finding the Fourth Proportional to 7,501.71, 11,254.19 and 4,216.71

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Solution

The fourth proportional to 7,501.71, 11,254.19 and 4,216.71 is: 6,325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,501.71 : 11,254.19 = 4,216.71 : x
  2. Step 2: Convert to fraction form
    7,501.71/11,254.19 = 4,216.71/x
  3. Step 3: Cross multiply
    7,501.71x = 11,254.19 × 4,216.71
  4. Step 4: Simplify right side
    7,501.71x = 47,455,634.43
  5. Step 5: Solve for x
    x = 47,455,634.43/7,501.71
  6. Step 6: Final answer
    x = 6,325.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.