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Finding the Fourth Proportional to 7,048.76, 9,727.34 and 4,064.58

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Solution

The fourth proportional to 7,048.76, 9,727.34 and 4,064.58 is: 5,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.76 : 9,727.34 = 4,064.58 : x
  2. Step 2: Convert to fraction form
    7,048.76/9,727.34 = 4,064.58/x
  3. Step 3: Cross multiply
    7,048.76x = 9,727.34 × 4,064.58
  4. Step 4: Simplify right side
    7,048.76x = 39,537,531.29
  5. Step 5: Solve for x
    x = 39,537,531.29/7,048.76
  6. Step 6: Final answer
    x = 5,609.15

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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.