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Finding the Fourth Proportional to 9,507.55, 14,243.10 and 5,798.77

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Solution

The fourth proportional to 9,507.55, 14,243.10 and 5,798.77 is: 8,687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.55 : 14,243.10 = 5,798.77 : x
  2. Step 2: Convert to fraction form
    9,507.55/14,243.10 = 5,798.77/x
  3. Step 3: Cross multiply
    9,507.55x = 14,243.10 × 5,798.77
  4. Step 4: Simplify right side
    9,507.55x = 82,592,460.99
  5. Step 5: Solve for x
    x = 82,592,460.99/9,507.55
  6. Step 6: Final answer
    x = 8,687.04

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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.