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Finding the Fourth Proportional to 7,865.22, 10,854 and 4,328.64

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Solution

The fourth proportional to 7,865.22, 10,854 and 4,328.64 is: 5,973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.22 : 10,854 = 4,328.64 : x
  2. Step 2: Convert to fraction form
    7,865.22/10,854 = 4,328.64/x
  3. Step 3: Cross multiply
    7,865.22x = 10,854 × 4,328.64
  4. Step 4: Simplify right side
    7,865.22x = 46,983,058.56
  5. Step 5: Solve for x
    x = 46,983,058.56/7,865.22
  6. Step 6: Final answer
    x = 5,973.52

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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.