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Finding the Fourth Proportional to 14,776.48, 22,168.86 and 6,457.24

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Solution

The fourth proportional to 14,776.48, 22,168.86 and 6,457.24 is: 9,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776.48 : 22,168.86 = 6,457.24 : x
  2. Step 2: Convert to fraction form
    14,776.48/22,168.86 = 6,457.24/x
  3. Step 3: Cross multiply
    14,776.48x = 22,168.86 × 6,457.24
  4. Step 4: Simplify right side
    14,776.48x = 143,149,649.55
  5. Step 5: Solve for x
    x = 143,149,649.55/14,776.48
  6. Step 6: Final answer
    x = 9,687.67

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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.