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Finding the Fourth Proportional to 9,503.40, 14,245.02 and 3,657.48

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Solution

The fourth proportional to 9,503.40, 14,245.02 and 3,657.48 is: 5,482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.40 : 14,245.02 = 3,657.48 : x
  2. Step 2: Convert to fraction form
    9,503.40/14,245.02 = 3,657.48/x
  3. Step 3: Cross multiply
    9,503.40x = 14,245.02 × 3,657.48
  4. Step 4: Simplify right side
    9,503.40x = 52,100,875.75
  5. Step 5: Solve for x
    x = 52,100,875.75/9,503.40
  6. Step 6: Final answer
    x = 5,482.34

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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.