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Finding the Fourth Proportional to 13,000.78, 19,503.59 and 5,210.20

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Solution

The fourth proportional to 13,000.78, 19,503.59 and 5,210.20 is: 7,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.78 : 19,503.59 = 5,210.20 : x
  2. Step 2: Convert to fraction form
    13,000.78/19,503.59 = 5,210.20/x
  3. Step 3: Cross multiply
    13,000.78x = 19,503.59 × 5,210.20
  4. Step 4: Simplify right side
    13,000.78x = 101,617,481.05
  5. Step 5: Solve for x
    x = 101,617,481.05/13,000.78
  6. Step 6: Final answer
    x = 7,816.26

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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.