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Finding the Fourth Proportional to 9,486.57, 13,089.02 and 6,503.34

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Solution

The fourth proportional to 9,486.57, 13,089.02 and 6,503.34 is: 8,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.57 : 13,089.02 = 6,503.34 : x
  2. Step 2: Convert to fraction form
    9,486.57/13,089.02 = 6,503.34/x
  3. Step 3: Cross multiply
    9,486.57x = 13,089.02 × 6,503.34
  4. Step 4: Simplify right side
    9,486.57x = 85,122,314.81
  5. Step 5: Solve for x
    x = 85,122,314.81/9,486.57
  6. Step 6: Final answer
    x = 8,972.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.