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Finding the Fourth Proportional to 9,798.71, 13,520.64 and 6,020.66

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Solution

The fourth proportional to 9,798.71, 13,520.64 and 6,020.66 is: 8,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.71 : 13,520.64 = 6,020.66 : x
  2. Step 2: Convert to fraction form
    9,798.71/13,520.64 = 6,020.66/x
  3. Step 3: Cross multiply
    9,798.71x = 13,520.64 × 6,020.66
  4. Step 4: Simplify right side
    9,798.71x = 81,403,176.42
  5. Step 5: Solve for x
    x = 81,403,176.42/9,798.71
  6. Step 6: Final answer
    x = 8,307.54

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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.