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Finding the Fourth Proportional to 9,586.63, 14,368.28 and 5,133.35

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Solution

The fourth proportional to 9,586.63, 14,368.28 and 5,133.35 is: 7,693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.63 : 14,368.28 = 5,133.35 : x
  2. Step 2: Convert to fraction form
    9,586.63/14,368.28 = 5,133.35/x
  3. Step 3: Cross multiply
    9,586.63x = 14,368.28 × 5,133.35
  4. Step 4: Simplify right side
    9,586.63x = 73,757,410.14
  5. Step 5: Solve for x
    x = 73,757,410.14/9,586.63
  6. Step 6: Final answer
    x = 7,693.78

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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.