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Finding the Fourth Proportional to 18,548, 25,596.24 and 10,164.32

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Solution

The fourth proportional to 18,548, 25,596.24 and 10,164.32 is: 14,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,548 : 25,596.24 = 10,164.32 : x
  2. Step 2: Convert to fraction form
    18,548/25,596.24 = 10,164.32/x
  3. Step 3: Cross multiply
    18,548x = 25,596.24 × 10,164.32
  4. Step 4: Simplify right side
    18,548x = 260,168,374.16
  5. Step 5: Solve for x
    x = 260,168,374.16/18,548
  6. Step 6: Final answer
    x = 14,026.76

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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.