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Finding the Fourth Proportional to 30,491.76, 45,745.06 and 9,715.26

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Solution

The fourth proportional to 30,491.76, 45,745.06 and 9,715.26 is: 14,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,491.76 : 45,745.06 = 9,715.26 : x
  2. Step 2: Convert to fraction form
    30,491.76/45,745.06 = 9,715.26/x
  3. Step 3: Cross multiply
    30,491.76x = 45,745.06 × 9,715.26
  4. Step 4: Simplify right side
    30,491.76x = 444,425,151.62
  5. Step 5: Solve for x
    x = 444,425,151.62/30,491.76
  6. Step 6: Final answer
    x = 14,575.25

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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.