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Finding the Fourth Proportional to 6,492, 8,959.60 and 3,697.52

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Solution

The fourth proportional to 6,492, 8,959.60 and 3,697.52 is: 5,102.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492 : 8,959.60 = 3,697.52 : x
  2. Step 2: Convert to fraction form
    6,492/8,959.60 = 3,697.52/x
  3. Step 3: Cross multiply
    6,492x = 8,959.60 × 3,697.52
  4. Step 4: Simplify right side
    6,492x = 33,128,300.19
  5. Step 5: Solve for x
    x = 33,128,300.19/6,492
  6. Step 6: Final answer
    x = 5,102.94

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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.