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Finding the Fourth Proportional to 15,296.58, 22,943.93 and 9,096.05

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Solution

The fourth proportional to 15,296.58, 22,943.93 and 9,096.05 is: 13,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,296.58 : 22,943.93 = 9,096.05 : x
  2. Step 2: Convert to fraction form
    15,296.58/22,943.93 = 9,096.05/x
  3. Step 3: Cross multiply
    15,296.58x = 22,943.93 × 9,096.05
  4. Step 4: Simplify right side
    15,296.58x = 208,699,134.48
  5. Step 5: Solve for x
    x = 208,699,134.48/15,296.58
  6. Step 6: Final answer
    x = 13,643.52

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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.