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Finding the Fourth Proportional to 7,739.76, 10,681.08 and 4,203.16

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Solution

The fourth proportional to 7,739.76, 10,681.08 and 4,203.16 is: 5,800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.76 : 10,681.08 = 4,203.16 : x
  2. Step 2: Convert to fraction form
    7,739.76/10,681.08 = 4,203.16/x
  3. Step 3: Cross multiply
    7,739.76x = 10,681.08 × 4,203.16
  4. Step 4: Simplify right side
    7,739.76x = 44,894,288.21
  5. Step 5: Solve for x
    x = 44,894,288.21/7,739.76
  6. Step 6: Final answer
    x = 5,800.48

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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.