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Finding the Fourth Proportional to 7,707.95, 11,567.54 and 5,957.33

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Solution

The fourth proportional to 7,707.95, 11,567.54 and 5,957.33 is: 8,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.95 : 11,567.54 = 5,957.33 : x
  2. Step 2: Convert to fraction form
    7,707.95/11,567.54 = 5,957.33/x
  3. Step 3: Cross multiply
    7,707.95x = 11,567.54 × 5,957.33
  4. Step 4: Simplify right side
    7,707.95x = 68,911,565.44
  5. Step 5: Solve for x
    x = 68,911,565.44/7,707.95
  6. Step 6: Final answer
    x = 8,940.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.