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Finding the Fourth Proportional to 9,509.61, 14,250.47 and 5,357.64

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Solution

The fourth proportional to 9,509.61, 14,250.47 and 5,357.64 is: 8,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.61 : 14,250.47 = 5,357.64 : x
  2. Step 2: Convert to fraction form
    9,509.61/14,250.47 = 5,357.64/x
  3. Step 3: Cross multiply
    9,509.61x = 14,250.47 × 5,357.64
  4. Step 4: Simplify right side
    9,509.61x = 76,348,861.30
  5. Step 5: Solve for x
    x = 76,348,861.30/9,509.61
  6. Step 6: Final answer
    x = 8,028.60

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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.