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Finding the Fourth Proportional to 13,597.84, 18,765.12 and 7,629.58

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Solution

The fourth proportional to 13,597.84, 18,765.12 and 7,629.58 is: 10,528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.84 : 18,765.12 = 7,629.58 : x
  2. Step 2: Convert to fraction form
    13,597.84/18,765.12 = 7,629.58/x
  3. Step 3: Cross multiply
    13,597.84x = 18,765.12 × 7,629.58
  4. Step 4: Simplify right side
    13,597.84x = 143,169,984.25
  5. Step 5: Solve for x
    x = 143,169,984.25/13,597.84
  6. Step 6: Final answer
    x = 10,528.88

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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.