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Finding the Fourth Proportional to 9,594.41, 14,382.38 and 4,916.63

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Solution

The fourth proportional to 9,594.41, 14,382.38 and 4,916.63 is: 7,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.41 : 14,382.38 = 4,916.63 : x
  2. Step 2: Convert to fraction form
    9,594.41/14,382.38 = 4,916.63/x
  3. Step 3: Cross multiply
    9,594.41x = 14,382.38 × 4,916.63
  4. Step 4: Simplify right side
    9,594.41x = 70,712,840.98
  5. Step 5: Solve for x
    x = 70,712,840.98/9,594.41
  6. Step 6: Final answer
    x = 7,370.21

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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.