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Finding the Fourth Proportional to 7,048.40, 9,704.63 and 5,984.06

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Solution

The fourth proportional to 7,048.40, 9,704.63 and 5,984.06 is: 8,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.40 : 9,704.63 = 5,984.06 : x
  2. Step 2: Convert to fraction form
    7,048.40/9,704.63 = 5,984.06/x
  3. Step 3: Cross multiply
    7,048.40x = 9,704.63 × 5,984.06
  4. Step 4: Simplify right side
    7,048.40x = 58,073,054.63
  5. Step 5: Solve for x
    x = 58,073,054.63/7,048.40
  6. Step 6: Final answer
    x = 8,239.19

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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.