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Finding the Fourth Proportional to 9,442.88, 13,024.80 and 6,130.88

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Solution

The fourth proportional to 9,442.88, 13,024.80 and 6,130.88 is: 8,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.88 : 13,024.80 = 6,130.88 : x
  2. Step 2: Convert to fraction form
    9,442.88/13,024.80 = 6,130.88/x
  3. Step 3: Cross multiply
    9,442.88x = 13,024.80 × 6,130.88
  4. Step 4: Simplify right side
    9,442.88x = 79,853,485.82
  5. Step 5: Solve for x
    x = 79,853,485.82/9,442.88
  6. Step 6: Final answer
    x = 8,456.48

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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.