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Finding the Fourth Proportional to 13,302.84, 19,962.04 and 7,384.71

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Solution

The fourth proportional to 13,302.84, 19,962.04 and 7,384.71 is: 11,081.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.84 : 19,962.04 = 7,384.71 : x
  2. Step 2: Convert to fraction form
    13,302.84/19,962.04 = 7,384.71/x
  3. Step 3: Cross multiply
    13,302.84x = 19,962.04 × 7,384.71
  4. Step 4: Simplify right side
    13,302.84x = 147,413,876.41
  5. Step 5: Solve for x
    x = 147,413,876.41/13,302.84
  6. Step 6: Final answer
    x = 11,081.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.