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Finding the Fourth Proportional to 10,730, 14,806.20 and 6,013.60

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Solution

The fourth proportional to 10,730, 14,806.20 and 6,013.60 is: 8,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730 : 14,806.20 = 6,013.60 : x
  2. Step 2: Convert to fraction form
    10,730/14,806.20 = 6,013.60/x
  3. Step 3: Cross multiply
    10,730x = 14,806.20 × 6,013.60
  4. Step 4: Simplify right side
    10,730x = 89,038,564.32
  5. Step 5: Solve for x
    x = 89,038,564.32/10,730
  6. Step 6: Final answer
    x = 8,298.10

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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.