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Finding the Fourth Proportional to 10,482.11, 14,460.47 and 6,703.38

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Solution

The fourth proportional to 10,482.11, 14,460.47 and 6,703.38 is: 9,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.11 : 14,460.47 = 6,703.38 : x
  2. Step 2: Convert to fraction form
    10,482.11/14,460.47 = 6,703.38/x
  3. Step 3: Cross multiply
    10,482.11x = 14,460.47 × 6,703.38
  4. Step 4: Simplify right side
    10,482.11x = 96,934,095.39
  5. Step 5: Solve for x
    x = 96,934,095.39/10,482.11
  6. Step 6: Final answer
    x = 9,247.58

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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.