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Finding the Fourth Proportional to 7,854.51, 10,839.23 and 4,317.64

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Solution

The fourth proportional to 7,854.51, 10,839.23 and 4,317.64 is: 5,958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.51 : 10,839.23 = 4,317.64 : x
  2. Step 2: Convert to fraction form
    7,854.51/10,839.23 = 4,317.64/x
  3. Step 3: Cross multiply
    7,854.51x = 10,839.23 × 4,317.64
  4. Step 4: Simplify right side
    7,854.51x = 46,799,893.02
  5. Step 5: Solve for x
    x = 46,799,893.02/7,854.51
  6. Step 6: Final answer
    x = 5,958.35

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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.