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Finding the Fourth Proportional to 7,064.16, 9,749.01 and 4,080.12

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Solution

The fourth proportional to 7,064.16, 9,749.01 and 4,080.12 is: 5,630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.16 : 9,749.01 = 4,080.12 : x
  2. Step 2: Convert to fraction form
    7,064.16/9,749.01 = 4,080.12/x
  3. Step 3: Cross multiply
    7,064.16x = 9,749.01 × 4,080.12
  4. Step 4: Simplify right side
    7,064.16x = 39,777,130.68
  5. Step 5: Solve for x
    x = 39,777,130.68/7,064.16
  6. Step 6: Final answer
    x = 5,630.84

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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.