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Finding the Fourth Proportional to 14,309.52, 21,462.12 and 6,410.40

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Solution

The fourth proportional to 14,309.52, 21,462.12 and 6,410.40 is: 9,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.52 : 21,462.12 = 6,410.40 : x
  2. Step 2: Convert to fraction form
    14,309.52/21,462.12 = 6,410.40/x
  3. Step 3: Cross multiply
    14,309.52x = 21,462.12 × 6,410.40
  4. Step 4: Simplify right side
    14,309.52x = 137,580,774.05
  5. Step 5: Solve for x
    x = 137,580,774.05/14,309.52
  6. Step 6: Final answer
    x = 9,614.63

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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.