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Finding the Fourth Proportional to 7,656.59, 11,462.58 and 5,690.93

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Solution

The fourth proportional to 7,656.59, 11,462.58 and 5,690.93 is: 8,519.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.59 : 11,462.58 = 5,690.93 : x
  2. Step 2: Convert to fraction form
    7,656.59/11,462.58 = 5,690.93/x
  3. Step 3: Cross multiply
    7,656.59x = 11,462.58 × 5,690.93
  4. Step 4: Simplify right side
    7,656.59x = 65,232,683.09
  5. Step 5: Solve for x
    x = 65,232,683.09/7,656.59
  6. Step 6: Final answer
    x = 8,519.81

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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.