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Finding the Fourth Proportional to 7,865.66, 10,854.42 and 4,328.84

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Solution

The fourth proportional to 7,865.66, 10,854.42 and 4,328.84 is: 5,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.66 : 10,854.42 = 4,328.84 : x
  2. Step 2: Convert to fraction form
    7,865.66/10,854.42 = 4,328.84/x
  3. Step 3: Cross multiply
    7,865.66x = 10,854.42 × 4,328.84
  4. Step 4: Simplify right side
    7,865.66x = 46,987,047.47
  5. Step 5: Solve for x
    x = 46,987,047.47/7,865.66
  6. Step 6: Final answer
    x = 5,973.69

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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.