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Finding the Fourth Proportional to 14,549.64, 21,824.03 and 4,020.30

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Solution

The fourth proportional to 14,549.64, 21,824.03 and 4,020.30 is: 6,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.64 : 21,824.03 = 4,020.30 : x
  2. Step 2: Convert to fraction form
    14,549.64/21,824.03 = 4,020.30/x
  3. Step 3: Cross multiply
    14,549.64x = 21,824.03 × 4,020.30
  4. Step 4: Simplify right side
    14,549.64x = 87,739,127.71
  5. Step 5: Solve for x
    x = 87,739,127.71/14,549.64
  6. Step 6: Final answer
    x = 6,030.33

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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.