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Finding the Fourth Proportional to 5,224.66, 7,838.07 and 1,762.18

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Solution

The fourth proportional to 5,224.66, 7,838.07 and 1,762.18 is: 2,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.66 : 7,838.07 = 1,762.18 : x
  2. Step 2: Convert to fraction form
    5,224.66/7,838.07 = 1,762.18/x
  3. Step 3: Cross multiply
    5,224.66x = 7,838.07 × 1,762.18
  4. Step 4: Simplify right side
    5,224.66x = 13,812,090.19
  5. Step 5: Solve for x
    x = 13,812,090.19/5,224.66
  6. Step 6: Final answer
    x = 2,643.63

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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.