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Finding the Fourth Proportional to 9,636.52, 14,427.24 and 9,024.16

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Solution

The fourth proportional to 9,636.52, 14,427.24 and 9,024.16 is: 13,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.52 : 14,427.24 = 9,024.16 : x
  2. Step 2: Convert to fraction form
    9,636.52/14,427.24 = 9,024.16/x
  3. Step 3: Cross multiply
    9,636.52x = 14,427.24 × 9,024.16
  4. Step 4: Simplify right side
    9,636.52x = 130,193,722.12
  5. Step 5: Solve for x
    x = 130,193,722.12/9,636.52
  6. Step 6: Final answer
    x = 13,510.45

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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.