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Finding the Fourth Proportional to 31,925.04, 47,894.88 and 9,738.84

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Solution

The fourth proportional to 31,925.04, 47,894.88 and 9,738.84 is: 14,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,925.04 : 47,894.88 = 9,738.84 : x
  2. Step 2: Convert to fraction form
    31,925.04/47,894.88 = 9,738.84/x
  3. Step 3: Cross multiply
    31,925.04x = 47,894.88 × 9,738.84
  4. Step 4: Simplify right side
    31,925.04x = 466,440,573.14
  5. Step 5: Solve for x
    x = 466,440,573.14/31,925.04
  6. Step 6: Final answer
    x = 14,610.49

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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.