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Finding the Fourth Proportional to 8,004, 11,048.40 and 5,527.20

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Solution

The fourth proportional to 8,004, 11,048.40 and 5,527.20 is: 7,629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004 : 11,048.40 = 5,527.20 : x
  2. Step 2: Convert to fraction form
    8,004/11,048.40 = 5,527.20/x
  3. Step 3: Cross multiply
    8,004x = 11,048.40 × 5,527.20
  4. Step 4: Simplify right side
    8,004x = 61,066,716.48
  5. Step 5: Solve for x
    x = 61,066,716.48/8,004
  6. Step 6: Final answer
    x = 7,629.52

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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.