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Finding the Fourth Proportional to 9,604.74, 14,407.85 and 3,684.47

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Solution

The fourth proportional to 9,604.74, 14,407.85 and 3,684.47 is: 5,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.74 : 14,407.85 = 3,684.47 : x
  2. Step 2: Convert to fraction form
    9,604.74/14,407.85 = 3,684.47/x
  3. Step 3: Cross multiply
    9,604.74x = 14,407.85 × 3,684.47
  4. Step 4: Simplify right side
    9,604.74x = 53,085,228.26
  5. Step 5: Solve for x
    x = 53,085,228.26/9,604.74
  6. Step 6: Final answer
    x = 5,526.98

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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.