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Finding the Fourth Proportional to 9,573.40, 14,369.58 and 7,838.98

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Solution

The fourth proportional to 9,573.40, 14,369.58 and 7,838.98 is: 11,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.40 : 14,369.58 = 7,838.98 : x
  2. Step 2: Convert to fraction form
    9,573.40/14,369.58 = 7,838.98/x
  3. Step 3: Cross multiply
    9,573.40x = 14,369.58 × 7,838.98
  4. Step 4: Simplify right side
    9,573.40x = 112,642,850.23
  5. Step 5: Solve for x
    x = 112,642,850.23/9,573.40
  6. Step 6: Final answer
    x = 11,766.23

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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.