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Finding the Fourth Proportional to 10,232.40, 15,348.60 and 9,503.40

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Solution

The fourth proportional to 10,232.40, 15,348.60 and 9,503.40 is: 14,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.40 : 15,348.60 = 9,503.40 : x
  2. Step 2: Convert to fraction form
    10,232.40/15,348.60 = 9,503.40/x
  3. Step 3: Cross multiply
    10,232.40x = 15,348.60 × 9,503.40
  4. Step 4: Simplify right side
    10,232.40x = 145,863,885.24
  5. Step 5: Solve for x
    x = 145,863,885.24/10,232.40
  6. Step 6: Final answer
    x = 14,255.10

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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.