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Finding the Fourth Proportional to 9,607.48, 14,406.90 and 9,305.08

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Solution

The fourth proportional to 9,607.48, 14,406.90 and 9,305.08 is: 13,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.48 : 14,406.90 = 9,305.08 : x
  2. Step 2: Convert to fraction form
    9,607.48/14,406.90 = 9,305.08/x
  3. Step 3: Cross multiply
    9,607.48x = 14,406.90 × 9,305.08
  4. Step 4: Simplify right side
    9,607.48x = 134,057,357.05
  5. Step 5: Solve for x
    x = 134,057,357.05/9,607.48
  6. Step 6: Final answer
    x = 13,953.44

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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.