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Finding the Fourth Proportional to 6,435.48, 9,642.42 and 4,482.84

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Solution

The fourth proportional to 6,435.48, 9,642.42 and 4,482.84 is: 6,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.48 : 9,642.42 = 4,482.84 : x
  2. Step 2: Convert to fraction form
    6,435.48/9,642.42 = 4,482.84/x
  3. Step 3: Cross multiply
    6,435.48x = 9,642.42 × 4,482.84
  4. Step 4: Simplify right side
    6,435.48x = 43,225,426.07
  5. Step 5: Solve for x
    x = 43,225,426.07/6,435.48
  6. Step 6: Final answer
    x = 6,716.74

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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.