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Finding the Fourth Proportional to 11,594.16, 17,389.80 and 3,802.80

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Solution

The fourth proportional to 11,594.16, 17,389.80 and 3,802.80 is: 5,703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.16 : 17,389.80 = 3,802.80 : x
  2. Step 2: Convert to fraction form
    11,594.16/17,389.80 = 3,802.80/x
  3. Step 3: Cross multiply
    11,594.16x = 17,389.80 × 3,802.80
  4. Step 4: Simplify right side
    11,594.16x = 66,129,931.44
  5. Step 5: Solve for x
    x = 66,129,931.44/11,594.16
  6. Step 6: Final answer
    x = 5,703.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.