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Finding the Fourth Proportional to 30,784.71, 46,177.11 and 8,598.09

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Solution

The fourth proportional to 30,784.71, 46,177.11 and 8,598.09 is: 12,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,784.71 : 46,177.11 = 8,598.09 : x
  2. Step 2: Convert to fraction form
    30,784.71/46,177.11 = 8,598.09/x
  3. Step 3: Cross multiply
    30,784.71x = 46,177.11 × 8,598.09
  4. Step 4: Simplify right side
    30,784.71x = 397,034,947.72
  5. Step 5: Solve for x
    x = 397,034,947.72/30,784.71
  6. Step 6: Final answer
    x = 12,897.15

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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.