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Finding the Fourth Proportional to 14,549.44, 21,835.04 and 5,666.16

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Solution

The fourth proportional to 14,549.44, 21,835.04 and 5,666.16 is: 8,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.44 : 21,835.04 = 5,666.16 : x
  2. Step 2: Convert to fraction form
    14,549.44/21,835.04 = 5,666.16/x
  3. Step 3: Cross multiply
    14,549.44x = 21,835.04 × 5,666.16
  4. Step 4: Simplify right side
    14,549.44x = 123,720,830.25
  5. Step 5: Solve for x
    x = 123,720,830.25/14,549.44
  6. Step 6: Final answer
    x = 8,503.48

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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.