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Finding the Fourth Proportional to 30,970.35, 46,455.48 and 7,596.54

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Solution

The fourth proportional to 30,970.35, 46,455.48 and 7,596.54 is: 11,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.35 : 46,455.48 = 7,596.54 : x
  2. Step 2: Convert to fraction form
    30,970.35/46,455.48 = 7,596.54/x
  3. Step 3: Cross multiply
    30,970.35x = 46,455.48 × 7,596.54
  4. Step 4: Simplify right side
    30,970.35x = 352,900,912.04
  5. Step 5: Solve for x
    x = 352,900,912.04/30,970.35
  6. Step 6: Final answer
    x = 11,394.80

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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.