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Finding the Fourth Proportional to 14,687.76, 20,268.53 and 7,973.16

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Solution

The fourth proportional to 14,687.76, 20,268.53 and 7,973.16 is: 11,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.76 : 20,268.53 = 7,973.16 : x
  2. Step 2: Convert to fraction form
    14,687.76/20,268.53 = 7,973.16/x
  3. Step 3: Cross multiply
    14,687.76x = 20,268.53 × 7,973.16
  4. Step 4: Simplify right side
    14,687.76x = 161,604,192.79
  5. Step 5: Solve for x
    x = 161,604,192.79/14,687.76
  6. Step 6: Final answer
    x = 11,002.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.