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Finding the Fourth Proportional to 30,896.97, 46,328.85 and 9,831.30

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Solution

The fourth proportional to 30,896.97, 46,328.85 and 9,831.30 is: 14,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.97 : 46,328.85 = 9,831.30 : x
  2. Step 2: Convert to fraction form
    30,896.97/46,328.85 = 9,831.30/x
  3. Step 3: Cross multiply
    30,896.97x = 46,328.85 × 9,831.30
  4. Step 4: Simplify right side
    30,896.97x = 455,472,823.01
  5. Step 5: Solve for x
    x = 455,472,823.01/30,896.97
  6. Step 6: Final answer
    x = 14,741.67

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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.