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Finding the Fourth Proportional to 30,895.74, 46,342.71 and 7,521.84

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Solution

The fourth proportional to 30,895.74, 46,342.71 and 7,521.84 is: 11,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,895.74 : 46,342.71 = 7,521.84 : x
  2. Step 2: Convert to fraction form
    30,895.74/46,342.71 = 7,521.84/x
  3. Step 3: Cross multiply
    30,895.74x = 46,342.71 × 7,521.84
  4. Step 4: Simplify right side
    30,895.74x = 348,582,449.79
  5. Step 5: Solve for x
    x = 348,582,449.79/30,895.74
  6. Step 6: Final answer
    x = 11,282.54

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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.