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Finding the Fourth Proportional to 12,503.25, 17,254.49 and 6,914.25

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Solution

The fourth proportional to 12,503.25, 17,254.49 and 6,914.25 is: 9,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.25 : 17,254.49 = 6,914.25 : x
  2. Step 2: Convert to fraction form
    12,503.25/17,254.49 = 6,914.25/x
  3. Step 3: Cross multiply
    12,503.25x = 17,254.49 × 6,914.25
  4. Step 4: Simplify right side
    12,503.25x = 119,301,822.91
  5. Step 5: Solve for x
    x = 119,301,822.91/12,503.25
  6. Step 6: Final answer
    x = 9,541.67

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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.