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Finding the Fourth Proportional to 13,698.48, 18,903.88 and 7,730.14

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Solution

The fourth proportional to 13,698.48, 18,903.88 and 7,730.14 is: 10,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.48 : 18,903.88 = 7,730.14 : x
  2. Step 2: Convert to fraction form
    13,698.48/18,903.88 = 7,730.14/x
  3. Step 3: Cross multiply
    13,698.48x = 18,903.88 × 7,730.14
  4. Step 4: Simplify right side
    13,698.48x = 146,129,638.94
  5. Step 5: Solve for x
    x = 146,129,638.94/13,698.48
  6. Step 6: Final answer
    x = 10,667.58

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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.