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Finding the Fourth Proportional to 9,523.54, 14,284.77 and 2,597.50

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Solution

The fourth proportional to 9,523.54, 14,284.77 and 2,597.50 is: 3,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.54 : 14,284.77 = 2,597.50 : x
  2. Step 2: Convert to fraction form
    9,523.54/14,284.77 = 2,597.50/x
  3. Step 3: Cross multiply
    9,523.54x = 14,284.77 × 2,597.50
  4. Step 4: Simplify right side
    9,523.54x = 37,104,690.08
  5. Step 5: Solve for x
    x = 37,104,690.08/9,523.54
  6. Step 6: Final answer
    x = 3,896.10

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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.