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Finding the Fourth Proportional to 9,894.40, 14,841.60 and 9,241.60

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Solution

The fourth proportional to 9,894.40, 14,841.60 and 9,241.60 is: 13,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.40 : 14,841.60 = 9,241.60 : x
  2. Step 2: Convert to fraction form
    9,894.40/14,841.60 = 9,241.60/x
  3. Step 3: Cross multiply
    9,894.40x = 14,841.60 × 9,241.60
  4. Step 4: Simplify right side
    9,894.40x = 137,160,130.56
  5. Step 5: Solve for x
    x = 137,160,130.56/9,894.40
  6. Step 6: Final answer
    x = 13,862.40

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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.