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Finding the Fourth Proportional to 6,649.66, 9,975.95 and 1,970.04

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Solution

The fourth proportional to 6,649.66, 9,975.95 and 1,970.04 is: 2,955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.66 : 9,975.95 = 1,970.04 : x
  2. Step 2: Convert to fraction form
    6,649.66/9,975.95 = 1,970.04/x
  3. Step 3: Cross multiply
    6,649.66x = 9,975.95 × 1,970.04
  4. Step 4: Simplify right side
    6,649.66x = 19,652,980.67
  5. Step 5: Solve for x
    x = 19,652,980.67/6,649.66
  6. Step 6: Final answer
    x = 2,955.49

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Similar ratio
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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.