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Finding the Fourth Proportional to 6,811.02, 9,411.10 and 5,630.04

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Solution

The fourth proportional to 6,811.02, 9,411.10 and 5,630.04 is: 7,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.02 : 9,411.10 = 5,630.04 : x
  2. Step 2: Convert to fraction form
    6,811.02/9,411.10 = 5,630.04/x
  3. Step 3: Cross multiply
    6,811.02x = 9,411.10 × 5,630.04
  4. Step 4: Simplify right side
    6,811.02x = 52,984,869.44
  5. Step 5: Solve for x
    x = 52,984,869.44/6,811.02
  6. Step 6: Final answer
    x = 7,779.29

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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.