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Finding the Fourth Proportional to 9,649.53, 14,460.12 and 4,306.23

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Solution

The fourth proportional to 9,649.53, 14,460.12 and 4,306.23 is: 6,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.53 : 14,460.12 = 4,306.23 : x
  2. Step 2: Convert to fraction form
    9,649.53/14,460.12 = 4,306.23/x
  3. Step 3: Cross multiply
    9,649.53x = 14,460.12 × 4,306.23
  4. Step 4: Simplify right side
    9,649.53x = 62,268,602.55
  5. Step 5: Solve for x
    x = 62,268,602.55/9,649.53
  6. Step 6: Final answer
    x = 6,453.02

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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.