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Finding the Fourth Proportional to 11,562.96, 15,955.44 and 6,526.56

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Solution

The fourth proportional to 11,562.96, 15,955.44 and 6,526.56 is: 9,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.96 : 15,955.44 = 6,526.56 : x
  2. Step 2: Convert to fraction form
    11,562.96/15,955.44 = 6,526.56/x
  3. Step 3: Cross multiply
    11,562.96x = 15,955.44 × 6,526.56
  4. Step 4: Simplify right side
    11,562.96x = 104,134,136.49
  5. Step 5: Solve for x
    x = 104,134,136.49/11,562.96
  6. Step 6: Final answer
    x = 9,005.84

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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.