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Finding the Fourth Proportional to 5,975.81, 8,965.31 and 5,322.16

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Solution

The fourth proportional to 5,975.81, 8,965.31 and 5,322.16 is: 7,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.81 : 8,965.31 = 5,322.16 : x
  2. Step 2: Convert to fraction form
    5,975.81/8,965.31 = 5,322.16/x
  3. Step 3: Cross multiply
    5,975.81x = 8,965.31 × 5,322.16
  4. Step 4: Simplify right side
    5,975.81x = 47,714,848.28
  5. Step 5: Solve for x
    x = 47,714,848.28/5,975.81
  6. Step 6: Final answer
    x = 7,984.67

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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.