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Finding the Fourth Proportional to 13,492.16, 20,238.11 and 7,569.03

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Solution

The fourth proportional to 13,492.16, 20,238.11 and 7,569.03 is: 11,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.16 : 20,238.11 = 7,569.03 : x
  2. Step 2: Convert to fraction form
    13,492.16/20,238.11 = 7,569.03/x
  3. Step 3: Cross multiply
    13,492.16x = 20,238.11 × 7,569.03
  4. Step 4: Simplify right side
    13,492.16x = 153,182,823.89
  5. Step 5: Solve for x
    x = 153,182,823.89/13,492.16
  6. Step 6: Final answer
    x = 11,353.47

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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.