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Finding the Fourth Proportional to 30,831.67, 46,247.52 and 7,458.10

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Solution

The fourth proportional to 30,831.67, 46,247.52 and 7,458.10 is: 11,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.67 : 46,247.52 = 7,458.10 : x
  2. Step 2: Convert to fraction form
    30,831.67/46,247.52 = 7,458.10/x
  3. Step 3: Cross multiply
    30,831.67x = 46,247.52 × 7,458.10
  4. Step 4: Simplify right side
    30,831.67x = 344,918,628.91
  5. Step 5: Solve for x
    x = 344,918,628.91/30,831.67
  6. Step 6: Final answer
    x = 11,187.15

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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.