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Finding the Fourth Proportional to 7,594.97, 10,485.93 and 4,766.23

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Solution

The fourth proportional to 7,594.97, 10,485.93 and 4,766.23 is: 6,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.97 : 10,485.93 = 4,766.23 : x
  2. Step 2: Convert to fraction form
    7,594.97/10,485.93 = 4,766.23/x
  3. Step 3: Cross multiply
    7,594.97x = 10,485.93 × 4,766.23
  4. Step 4: Simplify right side
    7,594.97x = 49,978,354.14
  5. Step 5: Solve for x
    x = 49,978,354.14/7,594.97
  6. Step 6: Final answer
    x = 6,580.45

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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.