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Finding the Fourth Proportional to 5,602.95, 7,782.75 and 5,513.58

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Solution

The fourth proportional to 5,602.95, 7,782.75 and 5,513.58 is: 7,658.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.95 : 7,782.75 = 5,513.58 : x
  2. Step 2: Convert to fraction form
    5,602.95/7,782.75 = 5,513.58/x
  3. Step 3: Cross multiply
    5,602.95x = 7,782.75 × 5,513.58
  4. Step 4: Simplify right side
    5,602.95x = 42,910,814.75
  5. Step 5: Solve for x
    x = 42,910,814.75/5,602.95
  6. Step 6: Final answer
    x = 7,658.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.