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Finding the Fourth Proportional to 9,145.60, 13,718.40 and 5,646.40

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Solution

The fourth proportional to 9,145.60, 13,718.40 and 5,646.40 is: 8,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.60 : 13,718.40 = 5,646.40 : x
  2. Step 2: Convert to fraction form
    9,145.60/13,718.40 = 5,646.40/x
  3. Step 3: Cross multiply
    9,145.60x = 13,718.40 × 5,646.40
  4. Step 4: Simplify right side
    9,145.60x = 77,459,573.76
  5. Step 5: Solve for x
    x = 77,459,573.76/9,145.60
  6. Step 6: Final answer
    x = 8,469.60

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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.