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Finding the Fourth Proportional to 7,656.26, 11,416.98 and 7,050.38

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Solution

The fourth proportional to 7,656.26, 11,416.98 and 7,050.38 is: 10,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.26 : 11,416.98 = 7,050.38 : x
  2. Step 2: Convert to fraction form
    7,656.26/11,416.98 = 7,050.38/x
  3. Step 3: Cross multiply
    7,656.26x = 11,416.98 × 7,050.38
  4. Step 4: Simplify right side
    7,656.26x = 80,493,990.37
  5. Step 5: Solve for x
    x = 80,493,990.37/7,656.26
  6. Step 6: Final answer
    x = 10,513.49

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Half scale
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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.