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Finding the Fourth Proportional to 11,213, 15,473.94 and 6,500.02

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Solution

The fourth proportional to 11,213, 15,473.94 and 6,500.02 is: 8,970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213 : 15,473.94 = 6,500.02 : x
  2. Step 2: Convert to fraction form
    11,213/15,473.94 = 6,500.02/x
  3. Step 3: Cross multiply
    11,213x = 15,473.94 × 6,500.02
  4. Step 4: Simplify right side
    11,213x = 100,580,919.48
  5. Step 5: Solve for x
    x = 100,580,919.48/11,213
  6. Step 6: Final answer
    x = 8,970.03

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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.