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Finding the Fourth Proportional to 5,167.96, 7,128.58 and 4,506.40

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Solution

The fourth proportional to 5,167.96, 7,128.58 and 4,506.40 is: 6,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.96 : 7,128.58 = 4,506.40 : x
  2. Step 2: Convert to fraction form
    5,167.96/7,128.58 = 4,506.40/x
  3. Step 3: Cross multiply
    5,167.96x = 7,128.58 × 4,506.40
  4. Step 4: Simplify right side
    5,167.96x = 32,124,232.91
  5. Step 5: Solve for x
    x = 32,124,232.91/5,167.96
  6. Step 6: Final answer
    x = 6,216.04

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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.