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Finding the Fourth Proportional to 7,117.96, 9,827.04 and 4,467.64

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Solution

The fourth proportional to 7,117.96, 9,827.04 and 4,467.64 is: 6,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.96 : 9,827.04 = 4,467.64 : x
  2. Step 2: Convert to fraction form
    7,117.96/9,827.04 = 4,467.64/x
  3. Step 3: Cross multiply
    7,117.96x = 9,827.04 × 4,467.64
  4. Step 4: Simplify right side
    7,117.96x = 43,903,676.99
  5. Step 5: Solve for x
    x = 43,903,676.99/7,117.96
  6. Step 6: Final answer
    x = 6,168.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.