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Finding the Fourth Proportional to 8,007.50, 11,056.02 and 6,513.14

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Solution

The fourth proportional to 8,007.50, 11,056.02 and 6,513.14 is: 8,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.50 : 11,056.02 = 6,513.14 : x
  2. Step 2: Convert to fraction form
    8,007.50/11,056.02 = 6,513.14/x
  3. Step 3: Cross multiply
    8,007.50x = 11,056.02 × 6,513.14
  4. Step 4: Simplify right side
    8,007.50x = 72,009,406.10
  5. Step 5: Solve for x
    x = 72,009,406.10/8,007.50
  6. Step 6: Final answer
    x = 8,992.75

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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.