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Finding the Fourth Proportional to 6,804.68, 9,386.20 and 4,446.76

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Solution

The fourth proportional to 6,804.68, 9,386.20 and 4,446.76 is: 6,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.68 : 9,386.20 = 4,446.76 : x
  2. Step 2: Convert to fraction form
    6,804.68/9,386.20 = 4,446.76/x
  3. Step 3: Cross multiply
    6,804.68x = 9,386.20 × 4,446.76
  4. Step 4: Simplify right side
    6,804.68x = 41,738,178.71
  5. Step 5: Solve for x
    x = 41,738,178.71/6,804.68
  6. Step 6: Final answer
    x = 6,133.75

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Half scale
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Double scale
Find fourth proportional to 6,805.68, 9,387.58 and 4,447.76
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1.5x scale

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.