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Finding the Fourth Proportional to 10,009.35, 13,807.35 and 6,028.02

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Solution

The fourth proportional to 10,009.35, 13,807.35 and 6,028.02 is: 8,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.35 : 13,807.35 = 6,028.02 : x
  2. Step 2: Convert to fraction form
    10,009.35/13,807.35 = 6,028.02/x
  3. Step 3: Cross multiply
    10,009.35x = 13,807.35 × 6,028.02
  4. Step 4: Simplify right side
    10,009.35x = 83,230,981.95
  5. Step 5: Solve for x
    x = 83,230,981.95/10,009.35
  6. Step 6: Final answer
    x = 8,315.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.