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Finding the Fourth Proportional to 9,509.59, 14,264.97 and 3,666.22

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Solution

The fourth proportional to 9,509.59, 14,264.97 and 3,666.22 is: 5,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.59 : 14,264.97 = 3,666.22 : x
  2. Step 2: Convert to fraction form
    9,509.59/14,264.97 = 3,666.22/x
  3. Step 3: Cross multiply
    9,509.59x = 14,264.97 × 3,666.22
  4. Step 4: Simplify right side
    9,509.59x = 52,298,518.31
  5. Step 5: Solve for x
    x = 52,298,518.31/9,509.59
  6. Step 6: Final answer
    x = 5,499.56

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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.