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Finding the Fourth Proportional to 9,893.43, 14,827.23 and 7,544.84

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Solution

The fourth proportional to 9,893.43, 14,827.23 and 7,544.84 is: 11,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.43 : 14,827.23 = 7,544.84 : x
  2. Step 2: Convert to fraction form
    9,893.43/14,827.23 = 7,544.84/x
  3. Step 3: Cross multiply
    9,893.43x = 14,827.23 × 7,544.84
  4. Step 4: Simplify right side
    9,893.43x = 111,869,040.93
  5. Step 5: Solve for x
    x = 111,869,040.93/9,893.43
  6. Step 6: Final answer
    x = 11,307.40

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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.