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Finding the Fourth Proportional to 30,254.88, 45,384.71 and 9,196.75

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Solution

The fourth proportional to 30,254.88, 45,384.71 and 9,196.75 is: 13,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,254.88 : 45,384.71 = 9,196.75 : x
  2. Step 2: Convert to fraction form
    30,254.88/45,384.71 = 9,196.75/x
  3. Step 3: Cross multiply
    30,254.88x = 45,384.71 × 9,196.75
  4. Step 4: Simplify right side
    30,254.88x = 417,391,831.69
  5. Step 5: Solve for x
    x = 417,391,831.69/30,254.88
  6. Step 6: Final answer
    x = 13,795.85

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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.