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Finding the Fourth Proportional to 9,503.64, 14,235.54 and 6,023.64

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Solution

The fourth proportional to 9,503.64, 14,235.54 and 6,023.64 is: 9,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.64 : 14,235.54 = 6,023.64 : x
  2. Step 2: Convert to fraction form
    9,503.64/14,235.54 = 6,023.64/x
  3. Step 3: Cross multiply
    9,503.64x = 14,235.54 × 6,023.64
  4. Step 4: Simplify right side
    9,503.64x = 85,749,768.17
  5. Step 5: Solve for x
    x = 85,749,768.17/9,503.64
  6. Step 6: Final answer
    x = 9,022.83

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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.