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Finding the Fourth Proportional to 9,472.77, 14,215.47 and 3,316.77

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Solution

The fourth proportional to 9,472.77, 14,215.47 and 3,316.77 is: 4,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.77 : 14,215.47 = 3,316.77 : x
  2. Step 2: Convert to fraction form
    9,472.77/14,215.47 = 3,316.77/x
  3. Step 3: Cross multiply
    9,472.77x = 14,215.47 × 3,316.77
  4. Step 4: Simplify right side
    9,472.77x = 47,149,444.43
  5. Step 5: Solve for x
    x = 47,149,444.43/9,472.77
  6. Step 6: Final answer
    x = 4,977.37

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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.