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Finding the Fourth Proportional to 7,064.71, 9,749.43 and 4,080.46

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Solution

The fourth proportional to 7,064.71, 9,749.43 and 4,080.46 is: 5,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.71 : 9,749.43 = 4,080.46 : x
  2. Step 2: Convert to fraction form
    7,064.71/9,749.43 = 4,080.46/x
  3. Step 3: Cross multiply
    7,064.71x = 9,749.43 × 4,080.46
  4. Step 4: Simplify right side
    7,064.71x = 39,782,159.14
  5. Step 5: Solve for x
    x = 39,782,159.14/7,064.71
  6. Step 6: Final answer
    x = 5,631.11

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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.