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Finding the Fourth Proportional to 6,854.64, 9,459.26 and 4,496.63

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Solution

The fourth proportional to 6,854.64, 9,459.26 and 4,496.63 is: 6,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.64 : 9,459.26 = 4,496.63 : x
  2. Step 2: Convert to fraction form
    6,854.64/9,459.26 = 4,496.63/x
  3. Step 3: Cross multiply
    6,854.64x = 9,459.26 × 4,496.63
  4. Step 4: Simplify right side
    6,854.64x = 42,534,739.38
  5. Step 5: Solve for x
    x = 42,534,739.38/6,854.64
  6. Step 6: Final answer
    x = 6,205.25

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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.