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Finding the Fourth Proportional to 30,693.97, 46,041.90 and 8,507.53

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Solution

The fourth proportional to 30,693.97, 46,041.90 and 8,507.53 is: 12,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.97 : 46,041.90 = 8,507.53 : x
  2. Step 2: Convert to fraction form
    30,693.97/46,041.90 = 8,507.53/x
  3. Step 3: Cross multiply
    30,693.97x = 46,041.90 × 8,507.53
  4. Step 4: Simplify right side
    30,693.97x = 391,702,845.51
  5. Step 5: Solve for x
    x = 391,702,845.51/30,693.97
  6. Step 6: Final answer
    x = 12,761.56

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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.