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Finding the Fourth Proportional to 9,504.64, 14,250.80 and 5,125.24

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Solution

The fourth proportional to 9,504.64, 14,250.80 and 5,125.24 is: 7,684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.64 : 14,250.80 = 5,125.24 : x
  2. Step 2: Convert to fraction form
    9,504.64/14,250.80 = 5,125.24/x
  3. Step 3: Cross multiply
    9,504.64x = 14,250.80 × 5,125.24
  4. Step 4: Simplify right side
    9,504.64x = 73,038,770.19
  5. Step 5: Solve for x
    x = 73,038,770.19/9,504.64
  6. Step 6: Final answer
    x = 7,684.54

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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.