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Finding the Fourth Proportional to 14,048.64, 21,064.80 and 5,728.32

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Solution

The fourth proportional to 14,048.64, 21,064.80 and 5,728.32 is: 8,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.64 : 21,064.80 = 5,728.32 : x
  2. Step 2: Convert to fraction form
    14,048.64/21,064.80 = 5,728.32/x
  3. Step 3: Cross multiply
    14,048.64x = 21,064.80 × 5,728.32
  4. Step 4: Simplify right side
    14,048.64x = 120,665,915.14
  5. Step 5: Solve for x
    x = 120,665,915.14/14,048.64
  6. Step 6: Final answer
    x = 8,589.15

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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.