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Finding the Fourth Proportional to 9,856.02, 14,784.60 and 4,009.44

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Solution

The fourth proportional to 9,856.02, 14,784.60 and 4,009.44 is: 6,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.02 : 14,784.60 = 4,009.44 : x
  2. Step 2: Convert to fraction form
    9,856.02/14,784.60 = 4,009.44/x
  3. Step 3: Cross multiply
    9,856.02x = 14,784.60 × 4,009.44
  4. Step 4: Simplify right side
    9,856.02x = 59,277,966.62
  5. Step 5: Solve for x
    x = 59,277,966.62/9,856.02
  6. Step 6: Final answer
    x = 6,014.39

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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.