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Finding the Fourth Proportional to 10,225.56, 15,357.78 and 6,357

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Solution

The fourth proportional to 10,225.56, 15,357.78 and 6,357 is: 9,547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.56 : 15,357.78 = 6,357 : x
  2. Step 2: Convert to fraction form
    10,225.56/15,357.78 = 6,357/x
  3. Step 3: Cross multiply
    10,225.56x = 15,357.78 × 6,357
  4. Step 4: Simplify right side
    10,225.56x = 97,629,407.46
  5. Step 5: Solve for x
    x = 97,629,407.46/10,225.56
  6. Step 6: Final answer
    x = 9,547.59

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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.