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Finding the Fourth Proportional to 7,954.48, 10,980.30 and 5,804.20

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Solution

The fourth proportional to 7,954.48, 10,980.30 and 5,804.20 is: 8,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.48 : 10,980.30 = 5,804.20 : x
  2. Step 2: Convert to fraction form
    7,954.48/10,980.30 = 5,804.20/x
  3. Step 3: Cross multiply
    7,954.48x = 10,980.30 × 5,804.20
  4. Step 4: Simplify right side
    7,954.48x = 63,731,857.26
  5. Step 5: Solve for x
    x = 63,731,857.26/7,954.48
  6. Step 6: Final answer
    x = 8,012.07

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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.