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Finding the Fourth Proportional to 9,594.96, 14,381.46 and 4,039.98

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Solution

The fourth proportional to 9,594.96, 14,381.46 and 4,039.98 is: 6,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.96 : 14,381.46 = 4,039.98 : x
  2. Step 2: Convert to fraction form
    9,594.96/14,381.46 = 4,039.98/x
  3. Step 3: Cross multiply
    9,594.96x = 14,381.46 × 4,039.98
  4. Step 4: Simplify right side
    9,594.96x = 58,100,810.77
  5. Step 5: Solve for x
    x = 58,100,810.77/9,594.96
  6. Step 6: Final answer
    x = 6,055.35

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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.