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Finding the Fourth Proportional to 13,642.84, 18,827.18 and 7,674.58

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Solution

The fourth proportional to 13,642.84, 18,827.18 and 7,674.58 is: 10,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.84 : 18,827.18 = 7,674.58 : x
  2. Step 2: Convert to fraction form
    13,642.84/18,827.18 = 7,674.58/x
  3. Step 3: Cross multiply
    13,642.84x = 18,827.18 × 7,674.58
  4. Step 4: Simplify right side
    13,642.84x = 144,490,699.08
  5. Step 5: Solve for x
    x = 144,490,699.08/13,642.84
  6. Step 6: Final answer
    x = 10,590.95

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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.