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Finding the Fourth Proportional to 7,050.65, 9,707.74 and 5,986.31

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Solution

The fourth proportional to 7,050.65, 9,707.74 and 5,986.31 is: 8,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.65 : 9,707.74 = 5,986.31 : x
  2. Step 2: Convert to fraction form
    7,050.65/9,707.74 = 5,986.31/x
  3. Step 3: Cross multiply
    7,050.65x = 9,707.74 × 5,986.31
  4. Step 4: Simplify right side
    7,050.65x = 58,113,477.53
  5. Step 5: Solve for x
    x = 58,113,477.53/7,050.65
  6. Step 6: Final answer
    x = 8,242.29

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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.