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Finding the Fourth Proportional to 9,699.52, 14,549.16 and 4,148.14

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Solution

The fourth proportional to 9,699.52, 14,549.16 and 4,148.14 is: 6,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.52 : 14,549.16 = 4,148.14 : x
  2. Step 2: Convert to fraction form
    9,699.52/14,549.16 = 4,148.14/x
  3. Step 3: Cross multiply
    9,699.52x = 14,549.16 × 4,148.14
  4. Step 4: Simplify right side
    9,699.52x = 60,351,952.56
  5. Step 5: Solve for x
    x = 60,351,952.56/9,699.52
  6. Step 6: Final answer
    x = 6,222.16

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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.