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Finding the Fourth Proportional to 15,691.83, 23,535.90 and 5,828.46

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Solution

The fourth proportional to 15,691.83, 23,535.90 and 5,828.46 is: 8,742.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,691.83 : 23,535.90 = 5,828.46 : x
  2. Step 2: Convert to fraction form
    15,691.83/23,535.90 = 5,828.46/x
  3. Step 3: Cross multiply
    15,691.83x = 23,535.90 × 5,828.46
  4. Step 4: Simplify right side
    15,691.83x = 137,178,051.71
  5. Step 5: Solve for x
    x = 137,178,051.71/15,691.83
  6. Step 6: Final answer
    x = 8,742.00

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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.