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Finding the Fourth Proportional to 16,448.64, 24,674.16 and 5,354.46

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Solution

The fourth proportional to 16,448.64, 24,674.16 and 5,354.46 is: 8,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.64 : 24,674.16 = 5,354.46 : x
  2. Step 2: Convert to fraction form
    16,448.64/24,674.16 = 5,354.46/x
  3. Step 3: Cross multiply
    16,448.64x = 24,674.16 × 5,354.46
  4. Step 4: Simplify right side
    16,448.64x = 132,116,802.75
  5. Step 5: Solve for x
    x = 132,116,802.75/16,448.64
  6. Step 6: Final answer
    x = 8,032.08

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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.