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Finding the Fourth Proportional to 5,492.60, 8,240.28 and 1,597.40

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Solution

The fourth proportional to 5,492.60, 8,240.28 and 1,597.40 is: 2,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.60 : 8,240.28 = 1,597.40 : x
  2. Step 2: Convert to fraction form
    5,492.60/8,240.28 = 1,597.40/x
  3. Step 3: Cross multiply
    5,492.60x = 8,240.28 × 1,597.40
  4. Step 4: Simplify right side
    5,492.60x = 13,163,023.27
  5. Step 5: Solve for x
    x = 13,163,023.27/5,492.60
  6. Step 6: Final answer
    x = 2,396.50

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.