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Finding the Fourth Proportional to 6,801.56, 9,385.02 and 4,567.16

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Solution

The fourth proportional to 6,801.56, 9,385.02 and 4,567.16 is: 6,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.56 : 9,385.02 = 4,567.16 : x
  2. Step 2: Convert to fraction form
    6,801.56/9,385.02 = 4,567.16/x
  3. Step 3: Cross multiply
    6,801.56x = 9,385.02 × 4,567.16
  4. Step 4: Simplify right side
    6,801.56x = 42,862,887.94
  5. Step 5: Solve for x
    x = 42,862,887.94/6,801.56
  6. Step 6: Final answer
    x = 6,301.92

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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.