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Finding the Fourth Proportional to 9,753.64, 14,630.46 and 5,368.84

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Solution

The fourth proportional to 9,753.64, 14,630.46 and 5,368.84 is: 8,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.64 : 14,630.46 = 5,368.84 : x
  2. Step 2: Convert to fraction form
    9,753.64/14,630.46 = 5,368.84/x
  3. Step 3: Cross multiply
    9,753.64x = 14,630.46 × 5,368.84
  4. Step 4: Simplify right side
    9,753.64x = 78,548,598.87
  5. Step 5: Solve for x
    x = 78,548,598.87/9,753.64
  6. Step 6: Final answer
    x = 8,053.26

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Similar ratio
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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.