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Finding the Fourth Proportional to 9,845.50, 14,768.26 and 9,597.64

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Solution

The fourth proportional to 9,845.50, 14,768.26 and 9,597.64 is: 14,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.50 : 14,768.26 = 9,597.64 : x
  2. Step 2: Convert to fraction form
    9,845.50/14,768.26 = 9,597.64/x
  3. Step 3: Cross multiply
    9,845.50x = 14,768.26 × 9,597.64
  4. Step 4: Simplify right side
    9,845.50x = 141,740,442.91
  5. Step 5: Solve for x
    x = 141,740,442.91/9,845.50
  6. Step 6: Final answer
    x = 14,396.47

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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.