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Finding the Fourth Proportional to 12,313.88, 16,993.16 and 7,598.16

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Solution

The fourth proportional to 12,313.88, 16,993.16 and 7,598.16 is: 10,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.88 : 16,993.16 = 7,598.16 : x
  2. Step 2: Convert to fraction form
    12,313.88/16,993.16 = 7,598.16/x
  3. Step 3: Cross multiply
    12,313.88x = 16,993.16 × 7,598.16
  4. Step 4: Simplify right side
    12,313.88x = 129,116,748.59
  5. Step 5: Solve for x
    x = 129,116,748.59/12,313.88
  6. Step 6: Final answer
    x = 10,485.46

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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.