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Finding the Fourth Proportional to 9,697.34, 13,381.31 and 6,509.99

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Solution

The fourth proportional to 9,697.34, 13,381.31 and 6,509.99 is: 8,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.34 : 13,381.31 = 6,509.99 : x
  2. Step 2: Convert to fraction form
    9,697.34/13,381.31 = 6,509.99/x
  3. Step 3: Cross multiply
    9,697.34x = 13,381.31 × 6,509.99
  4. Step 4: Simplify right side
    9,697.34x = 87,112,094.83
  5. Step 5: Solve for x
    x = 87,112,094.83/9,697.34
  6. Step 6: Final answer
    x = 8,983.10

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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.