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Finding the Fourth Proportional to 14,967.40, 22,451.10 and 6,199.40

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Solution

The fourth proportional to 14,967.40, 22,451.10 and 6,199.40 is: 9,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967.40 : 22,451.10 = 6,199.40 : x
  2. Step 2: Convert to fraction form
    14,967.40/22,451.10 = 6,199.40/x
  3. Step 3: Cross multiply
    14,967.40x = 22,451.10 × 6,199.40
  4. Step 4: Simplify right side
    14,967.40x = 139,183,349.34
  5. Step 5: Solve for x
    x = 139,183,349.34/14,967.40
  6. Step 6: Final answer
    x = 9,299.10

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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.