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Finding the Fourth Proportional to 10,425.70, 14,386.38 and 5,948.58

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Solution

The fourth proportional to 10,425.70, 14,386.38 and 5,948.58 is: 8,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.70 : 14,386.38 = 5,948.58 : x
  2. Step 2: Convert to fraction form
    10,425.70/14,386.38 = 5,948.58/x
  3. Step 3: Cross multiply
    10,425.70x = 14,386.38 × 5,948.58
  4. Step 4: Simplify right side
    10,425.70x = 85,578,483.06
  5. Step 5: Solve for x
    x = 85,578,483.06/10,425.70
  6. Step 6: Final answer
    x = 8,208.42

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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.