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Finding the Fourth Proportional to 30,865.98, 46,298.70 and 7,492.44

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Solution

The fourth proportional to 30,865.98, 46,298.70 and 7,492.44 is: 11,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,865.98 : 46,298.70 = 7,492.44 : x
  2. Step 2: Convert to fraction form
    30,865.98/46,298.70 = 7,492.44/x
  3. Step 3: Cross multiply
    30,865.98x = 46,298.70 × 7,492.44
  4. Step 4: Simplify right side
    30,865.98x = 346,890,231.83
  5. Step 5: Solve for x
    x = 346,890,231.83/30,865.98
  6. Step 6: Final answer
    x = 11,238.59

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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.