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Finding the Fourth Proportional to 7,804.48, 10,773.84 and 5,916.40

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Solution

The fourth proportional to 7,804.48, 10,773.84 and 5,916.40 is: 8,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.48 : 10,773.84 = 5,916.40 : x
  2. Step 2: Convert to fraction form
    7,804.48/10,773.84 = 5,916.40/x
  3. Step 3: Cross multiply
    7,804.48x = 10,773.84 × 5,916.40
  4. Step 4: Simplify right side
    7,804.48x = 63,742,346.98
  5. Step 5: Solve for x
    x = 63,742,346.98/7,804.48
  6. Step 6: Final answer
    x = 8,167.40

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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.