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Finding the Fourth Proportional to 7,064.13, 9,752.73 and 4,415.13

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Solution

The fourth proportional to 7,064.13, 9,752.73 and 4,415.13 is: 6,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.13 : 9,752.73 = 4,415.13 : x
  2. Step 2: Convert to fraction form
    7,064.13/9,752.73 = 4,415.13/x
  3. Step 3: Cross multiply
    7,064.13x = 9,752.73 × 4,415.13
  4. Step 4: Simplify right side
    7,064.13x = 43,059,570.80
  5. Step 5: Solve for x
    x = 43,059,570.80/7,064.13
  6. Step 6: Final answer
    x = 6,095.52

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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.