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Finding the Fourth Proportional to 9,642.70, 14,465.40 and 3,068.20

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Solution

The fourth proportional to 9,642.70, 14,465.40 and 3,068.20 is: 4,602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.70 : 14,465.40 = 3,068.20 : x
  2. Step 2: Convert to fraction form
    9,642.70/14,465.40 = 3,068.20/x
  3. Step 3: Cross multiply
    9,642.70x = 14,465.40 × 3,068.20
  4. Step 4: Simplify right side
    9,642.70x = 44,382,740.28
  5. Step 5: Solve for x
    x = 44,382,740.28/9,642.70
  6. Step 6: Final answer
    x = 4,602.73

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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.