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Finding the Fourth Proportional to 7,656.25, 11,416.98 and 7,050.37

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Solution

The fourth proportional to 7,656.25, 11,416.98 and 7,050.37 is: 10,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.25 : 11,416.98 = 7,050.37 : x
  2. Step 2: Convert to fraction form
    7,656.25/11,416.98 = 7,050.37/x
  3. Step 3: Cross multiply
    7,656.25x = 11,416.98 × 7,050.37
  4. Step 4: Simplify right side
    7,656.25x = 80,493,933.28
  5. Step 5: Solve for x
    x = 80,493,933.28/7,656.25
  6. Step 6: Final answer
    x = 10,513.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.