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Finding the Fourth Proportional to 30,693.69, 46,040.40 and 8,507

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Solution

The fourth proportional to 30,693.69, 46,040.40 and 8,507 is: 12,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.69 : 46,040.40 = 8,507 : x
  2. Step 2: Convert to fraction form
    30,693.69/46,040.40 = 8,507/x
  3. Step 3: Cross multiply
    30,693.69x = 46,040.40 × 8,507
  4. Step 4: Simplify right side
    30,693.69x = 391,665,682.80
  5. Step 5: Solve for x
    x = 391,665,682.80/30,693.69
  6. Step 6: Final answer
    x = 12,760.46

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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.