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Finding the Fourth Proportional to 6,913.35, 10,316.57 and 6,292.49

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Solution

The fourth proportional to 6,913.35, 10,316.57 and 6,292.49 is: 9,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.35 : 10,316.57 = 6,292.49 : x
  2. Step 2: Convert to fraction form
    6,913.35/10,316.57 = 6,292.49/x
  3. Step 3: Cross multiply
    6,913.35x = 10,316.57 × 6,292.49
  4. Step 4: Simplify right side
    6,913.35x = 64,916,830.51
  5. Step 5: Solve for x
    x = 64,916,830.51/6,913.35
  6. Step 6: Final answer
    x = 9,390.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.