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Finding the Fourth Proportional to 4,641.61, 6,962.65 and 1,354.95

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Solution

The fourth proportional to 4,641.61, 6,962.65 and 1,354.95 is: 2,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.61 : 6,962.65 = 1,354.95 : x
  2. Step 2: Convert to fraction form
    4,641.61/6,962.65 = 1,354.95/x
  3. Step 3: Cross multiply
    4,641.61x = 6,962.65 × 1,354.95
  4. Step 4: Simplify right side
    4,641.61x = 9,434,039.23
  5. Step 5: Solve for x
    x = 9,434,039.23/4,641.61
  6. Step 6: Final answer
    x = 2,032.49

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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.