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Finding the Fourth Proportional to 9,713.02, 13,403.95 and 5,464.08

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Solution

The fourth proportional to 9,713.02, 13,403.95 and 5,464.08 is: 7,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.02 : 13,403.95 = 5,464.08 : x
  2. Step 2: Convert to fraction form
    9,713.02/13,403.95 = 5,464.08/x
  3. Step 3: Cross multiply
    9,713.02x = 13,403.95 × 5,464.08
  4. Step 4: Simplify right side
    9,713.02x = 73,240,310.40
  5. Step 5: Solve for x
    x = 73,240,310.40/9,713.02
  6. Step 6: Final answer
    x = 7,540.43

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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.