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Finding the Fourth Proportional to 9,807.44, 14,717.64 and 4,613.72

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Solution

The fourth proportional to 9,807.44, 14,717.64 and 4,613.72 is: 6,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.44 : 14,717.64 = 4,613.72 : x
  2. Step 2: Convert to fraction form
    9,807.44/14,717.64 = 4,613.72/x
  3. Step 3: Cross multiply
    9,807.44x = 14,717.64 × 4,613.72
  4. Step 4: Simplify right side
    9,807.44x = 67,903,070.02
  5. Step 5: Solve for x
    x = 67,903,070.02/9,807.44
  6. Step 6: Final answer
    x = 6,923.63

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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.