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Finding the Fourth Proportional to 30,916.41, 46,378.02 and 9,851.55

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Solution

The fourth proportional to 30,916.41, 46,378.02 and 9,851.55 is: 14,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916.41 : 46,378.02 = 9,851.55 : x
  2. Step 2: Convert to fraction form
    30,916.41/46,378.02 = 9,851.55/x
  3. Step 3: Cross multiply
    30,916.41x = 46,378.02 × 9,851.55
  4. Step 4: Simplify right side
    30,916.41x = 456,895,382.93
  5. Step 5: Solve for x
    x = 456,895,382.93/30,916.41
  6. Step 6: Final answer
    x = 14,778.41

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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.