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Finding the Fourth Proportional to 13,657.54, 18,848.08 and 7,689.87

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Solution

The fourth proportional to 13,657.54, 18,848.08 and 7,689.87 is: 10,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.54 : 18,848.08 = 7,689.87 : x
  2. Step 2: Convert to fraction form
    13,657.54/18,848.08 = 7,689.87/x
  3. Step 3: Cross multiply
    13,657.54x = 18,848.08 × 7,689.87
  4. Step 4: Simplify right side
    13,657.54x = 144,939,284.95
  5. Step 5: Solve for x
    x = 144,939,284.95/13,657.54
  6. Step 6: Final answer
    x = 10,612.40

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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.