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Finding the Fourth Proportional to 11,500.09, 15,870.05 and 6,532.09

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Solution

The fourth proportional to 11,500.09, 15,870.05 and 6,532.09 is: 9,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.09 : 15,870.05 = 6,532.09 : x
  2. Step 2: Convert to fraction form
    11,500.09/15,870.05 = 6,532.09/x
  3. Step 3: Cross multiply
    11,500.09x = 15,870.05 × 6,532.09
  4. Step 4: Simplify right side
    11,500.09x = 103,664,562.24
  5. Step 5: Solve for x
    x = 103,664,562.24/11,500.09
  6. Step 6: Final answer
    x = 9,014.24

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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.