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Finding the Fourth Proportional to 12,569.03, 17,347.50 and 9,398.24

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Solution

The fourth proportional to 12,569.03, 17,347.50 and 9,398.24 is: 12,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.03 : 17,347.50 = 9,398.24 : x
  2. Step 2: Convert to fraction form
    12,569.03/17,347.50 = 9,398.24/x
  3. Step 3: Cross multiply
    12,569.03x = 17,347.50 × 9,398.24
  4. Step 4: Simplify right side
    12,569.03x = 163,035,968.40
  5. Step 5: Solve for x
    x = 163,035,968.40/12,569.03
  6. Step 6: Final answer
    x = 12,971.25

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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.