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Finding the Fourth Proportional to 9,206.04, 13,807.63 and 5,048.10

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Solution

The fourth proportional to 9,206.04, 13,807.63 and 5,048.10 is: 7,571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.04 : 13,807.63 = 5,048.10 : x
  2. Step 2: Convert to fraction form
    9,206.04/13,807.63 = 5,048.10/x
  3. Step 3: Cross multiply
    9,206.04x = 13,807.63 × 5,048.10
  4. Step 4: Simplify right side
    9,206.04x = 69,702,215.34
  5. Step 5: Solve for x
    x = 69,702,215.34/9,206.04
  6. Step 6: Final answer
    x = 7,571.36

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1.5x scale

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.