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Finding the Fourth Proportional to 10,201.65, 15,300.63 and 6,492.87

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Solution

The fourth proportional to 10,201.65, 15,300.63 and 6,492.87 is: 9,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.65 : 15,300.63 = 6,492.87 : x
  2. Step 2: Convert to fraction form
    10,201.65/15,300.63 = 6,492.87/x
  3. Step 3: Cross multiply
    10,201.65x = 15,300.63 × 6,492.87
  4. Step 4: Simplify right side
    10,201.65x = 99,345,001.51
  5. Step 5: Solve for x
    x = 99,345,001.51/10,201.65
  6. Step 6: Final answer
    x = 9,738.13

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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.