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Finding the Fourth Proportional to 6,802.34, 10,214.64 and 4,595.31

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Solution

The fourth proportional to 6,802.34, 10,214.64 and 4,595.31 is: 6,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.34 : 10,214.64 = 4,595.31 : x
  2. Step 2: Convert to fraction form
    6,802.34/10,214.64 = 4,595.31/x
  3. Step 3: Cross multiply
    6,802.34x = 10,214.64 × 4,595.31
  4. Step 4: Simplify right side
    6,802.34x = 46,939,437.34
  5. Step 5: Solve for x
    x = 46,939,437.34/6,802.34
  6. Step 6: Final answer
    x = 6,900.49

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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.