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Finding the Fourth Proportional to 30,948.66, 46,423.17 and 7,575.12

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Solution

The fourth proportional to 30,948.66, 46,423.17 and 7,575.12 is: 11,362.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,948.66 : 46,423.17 = 7,575.12 : x
  2. Step 2: Convert to fraction form
    30,948.66/46,423.17 = 7,575.12/x
  3. Step 3: Cross multiply
    30,948.66x = 46,423.17 × 7,575.12
  4. Step 4: Simplify right side
    30,948.66x = 351,661,083.53
  5. Step 5: Solve for x
    x = 351,661,083.53/30,948.66
  6. Step 6: Final answer
    x = 11,362.72

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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.