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Finding the Fourth Proportional to 12,019, 16,585.08 and 7,541.32

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Solution

The fourth proportional to 12,019, 16,585.08 and 7,541.32 is: 10,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019 : 16,585.08 = 7,541.32 : x
  2. Step 2: Convert to fraction form
    12,019/16,585.08 = 7,541.32/x
  3. Step 3: Cross multiply
    12,019x = 16,585.08 × 7,541.32
  4. Step 4: Simplify right side
    12,019x = 125,073,395.51
  5. Step 5: Solve for x
    x = 125,073,395.51/12,019
  6. Step 6: Final answer
    x = 10,406.31

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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.