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Finding the Fourth Proportional to 10,196, 15,292.56 and 4,649.12

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Solution

The fourth proportional to 10,196, 15,292.56 and 4,649.12 is: 6,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196 : 15,292.56 = 4,649.12 : x
  2. Step 2: Convert to fraction form
    10,196/15,292.56 = 4,649.12/x
  3. Step 3: Cross multiply
    10,196x = 15,292.56 × 4,649.12
  4. Step 4: Simplify right side
    10,196x = 71,096,946.55
  5. Step 5: Solve for x
    x = 71,096,946.55/10,196
  6. Step 6: Final answer
    x = 6,973.02

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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.