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Finding the Fourth Proportional to 13,350, 18,424.08 and 7,762.08

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Solution

The fourth proportional to 13,350, 18,424.08 and 7,762.08 is: 10,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,350 : 18,424.08 = 7,762.08 : x
  2. Step 2: Convert to fraction form
    13,350/18,424.08 = 7,762.08/x
  3. Step 3: Cross multiply
    13,350x = 18,424.08 × 7,762.08
  4. Step 4: Simplify right side
    13,350x = 143,009,182.89
  5. Step 5: Solve for x
    x = 143,009,182.89/13,350
  6. Step 6: Final answer
    x = 10,712.30

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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.