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Finding the Fourth Proportional to 10,465.44, 15,773.42 and 9,022.02

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Solution

The fourth proportional to 10,465.44, 15,773.42 and 9,022.02 is: 13,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.44 : 15,773.42 = 9,022.02 : x
  2. Step 2: Convert to fraction form
    10,465.44/15,773.42 = 9,022.02/x
  3. Step 3: Cross multiply
    10,465.44x = 15,773.42 × 9,022.02
  4. Step 4: Simplify right side
    10,465.44x = 142,308,065.60
  5. Step 5: Solve for x
    x = 142,308,065.60/10,465.44
  6. Step 6: Final answer
    x = 13,597.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.