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Finding the Fourth Proportional to 14,678.16, 22,026.24 and 8,446.08

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Solution

The fourth proportional to 14,678.16, 22,026.24 and 8,446.08 is: 12,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.16 : 22,026.24 = 8,446.08 : x
  2. Step 2: Convert to fraction form
    14,678.16/22,026.24 = 8,446.08/x
  3. Step 3: Cross multiply
    14,678.16x = 22,026.24 × 8,446.08
  4. Step 4: Simplify right side
    14,678.16x = 186,035,385.14
  5. Step 5: Solve for x
    x = 186,035,385.14/14,678.16
  6. Step 6: Final answer
    x = 12,674.30

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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.