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Finding the Fourth Proportional to 18,657, 25,746.66 and 10,274.04

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Solution

The fourth proportional to 18,657, 25,746.66 and 10,274.04 is: 14,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657 : 25,746.66 = 10,274.04 : x
  2. Step 2: Convert to fraction form
    18,657/25,746.66 = 10,274.04/x
  3. Step 3: Cross multiply
    18,657x = 25,746.66 × 10,274.04
  4. Step 4: Simplify right side
    18,657x = 264,522,214.71
  5. Step 5: Solve for x
    x = 264,522,214.71/18,657
  6. Step 6: Final answer
    x = 14,178.18

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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.