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Finding the Fourth Proportional to 6,595.52, 9,894.88 and 1,978.52

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Solution

The fourth proportional to 6,595.52, 9,894.88 and 1,978.52 is: 2,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.52 : 9,894.88 = 1,978.52 : x
  2. Step 2: Convert to fraction form
    6,595.52/9,894.88 = 1,978.52/x
  3. Step 3: Cross multiply
    6,595.52x = 9,894.88 × 1,978.52
  4. Step 4: Simplify right side
    6,595.52x = 19,577,217.98
  5. Step 5: Solve for x
    x = 19,577,217.98/6,595.52
  6. Step 6: Final answer
    x = 2,968.26

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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.