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Finding the Fourth Proportional to 9,850.68, 13,598.96 and 7,607.52

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Solution

The fourth proportional to 9,850.68, 13,598.96 and 7,607.52 is: 10,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.68 : 13,598.96 = 7,607.52 : x
  2. Step 2: Convert to fraction form
    9,850.68/13,598.96 = 7,607.52/x
  3. Step 3: Cross multiply
    9,850.68x = 13,598.96 × 7,607.52
  4. Step 4: Simplify right side
    9,850.68x = 103,454,322.14
  5. Step 5: Solve for x
    x = 103,454,322.14/9,850.68
  6. Step 6: Final answer
    x = 10,502.25

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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.