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Finding the Fourth Proportional to 13,730.00, 20,599.10 and 9,735.08

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Solution

The fourth proportional to 13,730.00, 20,599.10 and 9,735.08 is: 14,605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.00 : 20,599.10 = 9,735.08 : x
  2. Step 2: Convert to fraction form
    13,730.00/20,599.10 = 9,735.08/x
  3. Step 3: Cross multiply
    13,730.00x = 20,599.10 × 9,735.08
  4. Step 4: Simplify right side
    13,730.00x = 200,533,734.76
  5. Step 5: Solve for x
    x = 200,533,734.76/13,730.00
  6. Step 6: Final answer
    x = 14,605.52

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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.