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Finding the Fourth Proportional to 9,534.65, 14,235.89 and 8,944.16

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Solution

The fourth proportional to 9,534.65, 14,235.89 and 8,944.16 is: 13,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.65 : 14,235.89 = 8,944.16 : x
  2. Step 2: Convert to fraction form
    9,534.65/14,235.89 = 8,944.16/x
  3. Step 3: Cross multiply
    9,534.65x = 14,235.89 × 8,944.16
  4. Step 4: Simplify right side
    9,534.65x = 127,327,962.00
  5. Step 5: Solve for x
    x = 127,327,962.00/9,534.65
  6. Step 6: Final answer
    x = 13,354.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.