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Finding the Fourth Proportional to 15,901.94, 23,853.41 and 7,582.86

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Solution

The fourth proportional to 15,901.94, 23,853.41 and 7,582.86 is: 11,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.94 : 23,853.41 = 7,582.86 : x
  2. Step 2: Convert to fraction form
    15,901.94/23,853.41 = 7,582.86/x
  3. Step 3: Cross multiply
    15,901.94x = 23,853.41 × 7,582.86
  4. Step 4: Simplify right side
    15,901.94x = 180,877,068.55
  5. Step 5: Solve for x
    x = 180,877,068.55/15,901.94
  6. Step 6: Final answer
    x = 11,374.53

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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.