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Finding the Fourth Proportional to 9,574.66, 13,207.75 and 5,798.98

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Solution

The fourth proportional to 9,574.66, 13,207.75 and 5,798.98 is: 7,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.66 : 13,207.75 = 5,798.98 : x
  2. Step 2: Convert to fraction form
    9,574.66/13,207.75 = 5,798.98/x
  3. Step 3: Cross multiply
    9,574.66x = 13,207.75 × 5,798.98
  4. Step 4: Simplify right side
    9,574.66x = 76,591,478.10
  5. Step 5: Solve for x
    x = 76,591,478.10/9,574.66
  6. Step 6: Final answer
    x = 7,999.39

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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.