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Finding the Fourth Proportional to 14,969.96, 22,462.74 and 6,655.92

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Solution

The fourth proportional to 14,969.96, 22,462.74 and 6,655.92 is: 9,987.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.96 : 22,462.74 = 6,655.92 : x
  2. Step 2: Convert to fraction form
    14,969.96/22,462.74 = 6,655.92/x
  3. Step 3: Cross multiply
    14,969.96x = 22,462.74 × 6,655.92
  4. Step 4: Simplify right side
    14,969.96x = 149,510,200.42
  5. Step 5: Solve for x
    x = 149,510,200.42/14,969.96
  6. Step 6: Final answer
    x = 9,987.35

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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.