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Finding the Fourth Proportional to 9,603.64, 13,256.74 and 5,626.06

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Solution

The fourth proportional to 9,603.64, 13,256.74 and 5,626.06 is: 7,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.64 : 13,256.74 = 5,626.06 : x
  2. Step 2: Convert to fraction form
    9,603.64/13,256.74 = 5,626.06/x
  3. Step 3: Cross multiply
    9,603.64x = 13,256.74 × 5,626.06
  4. Step 4: Simplify right side
    9,603.64x = 74,583,214.64
  5. Step 5: Solve for x
    x = 74,583,214.64/9,603.64
  6. Step 6: Final answer
    x = 7,766.14

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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.