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Finding the Fourth Proportional to 30,921.48, 46,364.76 and 9,857.52

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Solution

The fourth proportional to 30,921.48, 46,364.76 and 9,857.52 is: 14,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.48 : 46,364.76 = 9,857.52 : x
  2. Step 2: Convert to fraction form
    30,921.48/46,364.76 = 9,857.52/x
  3. Step 3: Cross multiply
    30,921.48x = 46,364.76 × 9,857.52
  4. Step 4: Simplify right side
    30,921.48x = 457,041,549.00
  5. Step 5: Solve for x
    x = 457,041,549.00/30,921.48
  6. Step 6: Final answer
    x = 14,780.71

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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.