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Finding the Fourth Proportional to 7,048.32, 9,727.62 and 4,064.10

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Solution

The fourth proportional to 7,048.32, 9,727.62 and 4,064.10 is: 5,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.32 : 9,727.62 = 4,064.10 : x
  2. Step 2: Convert to fraction form
    7,048.32/9,727.62 = 4,064.10/x
  3. Step 3: Cross multiply
    7,048.32x = 9,727.62 × 4,064.10
  4. Step 4: Simplify right side
    7,048.32x = 39,534,020.44
  5. Step 5: Solve for x
    x = 39,534,020.44/7,048.32
  6. Step 6: Final answer
    x = 5,609.00

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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.