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Finding the Fourth Proportional to 6,804.36, 9,389.70 and 4,009.32

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Solution

The fourth proportional to 6,804.36, 9,389.70 and 4,009.32 is: 5,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.36 : 9,389.70 = 4,009.32 : x
  2. Step 2: Convert to fraction form
    6,804.36/9,389.70 = 4,009.32/x
  3. Step 3: Cross multiply
    6,804.36x = 9,389.70 × 4,009.32
  4. Step 4: Simplify right side
    6,804.36x = 37,646,312.00
  5. Step 5: Solve for x
    x = 37,646,312.00/6,804.36
  6. Step 6: Final answer
    x = 5,532.67

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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.