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Finding the Fourth Proportional to 10,365.16, 14,303.97 and 5,889.16

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Solution

The fourth proportional to 10,365.16, 14,303.97 and 5,889.16 is: 8,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.16 : 14,303.97 = 5,889.16 : x
  2. Step 2: Convert to fraction form
    10,365.16/14,303.97 = 5,889.16/x
  3. Step 3: Cross multiply
    10,365.16x = 14,303.97 × 5,889.16
  4. Step 4: Simplify right side
    10,365.16x = 84,238,367.97
  5. Step 5: Solve for x
    x = 84,238,367.97/10,365.16
  6. Step 6: Final answer
    x = 8,127.07

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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.