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Finding the Fourth Proportional to 7,698.95, 11,519.54 and 4,567.49

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Solution

The fourth proportional to 7,698.95, 11,519.54 and 4,567.49 is: 6,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.95 : 11,519.54 = 4,567.49 : x
  2. Step 2: Convert to fraction form
    7,698.95/11,519.54 = 4,567.49/x
  3. Step 3: Cross multiply
    7,698.95x = 11,519.54 × 4,567.49
  4. Step 4: Simplify right side
    7,698.95x = 52,615,360.92
  5. Step 5: Solve for x
    x = 52,615,360.92/7,698.95
  6. Step 6: Final answer
    x = 6,834.10

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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.