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Finding the Fourth Proportional to 9,606.71, 13,247.16 and 7,586.77

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Solution

The fourth proportional to 9,606.71, 13,247.16 and 7,586.77 is: 10,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.71 : 13,247.16 = 7,586.77 : x
  2. Step 2: Convert to fraction form
    9,606.71/13,247.16 = 7,586.77/x
  3. Step 3: Cross multiply
    9,606.71x = 13,247.16 × 7,586.77
  4. Step 4: Simplify right side
    9,606.71x = 100,503,156.07
  5. Step 5: Solve for x
    x = 100,503,156.07/9,606.71
  6. Step 6: Final answer
    x = 10,461.77

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Half scale
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Double scale
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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.