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Finding the Fourth Proportional to 12,503.49, 17,253.06 and 7,197.30

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Solution

The fourth proportional to 12,503.49, 17,253.06 and 7,197.30 is: 9,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.49 : 17,253.06 = 7,197.30 : x
  2. Step 2: Convert to fraction form
    12,503.49/17,253.06 = 7,197.30/x
  3. Step 3: Cross multiply
    12,503.49x = 17,253.06 × 7,197.30
  4. Step 4: Simplify right side
    12,503.49x = 124,175,448.74
  5. Step 5: Solve for x
    x = 124,175,448.74/12,503.49
  6. Step 6: Final answer
    x = 9,931.26

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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.