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Finding the Fourth Proportional to 12,509.88, 17,263.50 and 6,844.74

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Solution

The fourth proportional to 12,509.88, 17,263.50 and 6,844.74 is: 9,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.88 : 17,263.50 = 6,844.74 : x
  2. Step 2: Convert to fraction form
    12,509.88/17,263.50 = 6,844.74/x
  3. Step 3: Cross multiply
    12,509.88x = 17,263.50 × 6,844.74
  4. Step 4: Simplify right side
    12,509.88x = 118,164,168.99
  5. Step 5: Solve for x
    x = 118,164,168.99/12,509.88
  6. Step 6: Final answer
    x = 9,445.67

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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.