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Finding the Fourth Proportional to 14,582, 21,876.92 and 5,823.07

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Solution

The fourth proportional to 14,582, 21,876.92 and 5,823.07 is: 8,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582 : 21,876.92 = 5,823.07 : x
  2. Step 2: Convert to fraction form
    14,582/21,876.92 = 5,823.07/x
  3. Step 3: Cross multiply
    14,582x = 21,876.92 × 5,823.07
  4. Step 4: Simplify right side
    14,582x = 127,390,836.54
  5. Step 5: Solve for x
    x = 127,390,836.54/14,582
  6. Step 6: Final answer
    x = 8,736.17

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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.