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Finding the Fourth Proportional to 11,586.01, 15,973.23 and 9,203.88

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Solution

The fourth proportional to 11,586.01, 15,973.23 and 9,203.88 is: 12,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.01 : 15,973.23 = 9,203.88 : x
  2. Step 2: Convert to fraction form
    11,586.01/15,973.23 = 9,203.88/x
  3. Step 3: Cross multiply
    11,586.01x = 15,973.23 × 9,203.88
  4. Step 4: Simplify right side
    11,586.01x = 147,015,720.12
  5. Step 5: Solve for x
    x = 147,015,720.12/11,586.01
  6. Step 6: Final answer
    x = 12,689.08

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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.