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Finding the Fourth Proportional to 11,011.13, 16,524.80 and 7,312.13

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Solution

The fourth proportional to 11,011.13, 16,524.80 and 7,312.13 is: 10,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,011.13 : 16,524.80 = 7,312.13 : x
  2. Step 2: Convert to fraction form
    11,011.13/16,524.80 = 7,312.13/x
  3. Step 3: Cross multiply
    11,011.13x = 16,524.80 × 7,312.13
  4. Step 4: Simplify right side
    11,011.13x = 120,831,449.26
  5. Step 5: Solve for x
    x = 120,831,449.26/11,011.13
  6. Step 6: Final answer
    x = 10,973.57

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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.