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Finding the Fourth Proportional to 9,841.76, 14,756.28 and 4,840.64

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Solution

The fourth proportional to 9,841.76, 14,756.28 and 4,840.64 is: 7,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.76 : 14,756.28 = 4,840.64 : x
  2. Step 2: Convert to fraction form
    9,841.76/14,756.28 = 4,840.64/x
  3. Step 3: Cross multiply
    9,841.76x = 14,756.28 × 4,840.64
  4. Step 4: Simplify right side
    9,841.76x = 71,429,839.22
  5. Step 5: Solve for x
    x = 71,429,839.22/9,841.76
  6. Step 6: Final answer
    x = 7,257.83

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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.