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Finding the Fourth Proportional to 9,606.79, 13,252.02 and 5,627.14

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Solution

The fourth proportional to 9,606.79, 13,252.02 and 5,627.14 is: 7,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.79 : 13,252.02 = 5,627.14 : x
  2. Step 2: Convert to fraction form
    9,606.79/13,252.02 = 5,627.14/x
  3. Step 3: Cross multiply
    9,606.79x = 13,252.02 × 5,627.14
  4. Step 4: Simplify right side
    9,606.79x = 74,570,971.82
  5. Step 5: Solve for x
    x = 74,570,971.82/9,606.79
  6. Step 6: Final answer
    x = 7,762.32

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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.