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Finding the Fourth Proportional to 9,612.95, 13,266.80 and 5,835.24

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Solution

The fourth proportional to 9,612.95, 13,266.80 and 5,835.24 is: 8,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.95 : 13,266.80 = 5,835.24 : x
  2. Step 2: Convert to fraction form
    9,612.95/13,266.80 = 5,835.24/x
  3. Step 3: Cross multiply
    9,612.95x = 13,266.80 × 5,835.24
  4. Step 4: Simplify right side
    9,612.95x = 77,414,962.03
  5. Step 5: Solve for x
    x = 77,414,962.03/9,612.95
  6. Step 6: Final answer
    x = 8,053.20

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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.