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Finding the Fourth Proportional to 9,851.81, 13,602.13 and 7,579.10

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Solution

The fourth proportional to 9,851.81, 13,602.13 and 7,579.10 is: 10,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.81 : 13,602.13 = 7,579.10 : x
  2. Step 2: Convert to fraction form
    9,851.81/13,602.13 = 7,579.10/x
  3. Step 3: Cross multiply
    9,851.81x = 13,602.13 × 7,579.10
  4. Step 4: Simplify right side
    9,851.81x = 103,091,918.54
  5. Step 5: Solve for x
    x = 103,091,918.54/9,851.81
  6. Step 6: Final answer
    x = 10,464.27

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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.