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Finding the Fourth Proportional to 3,153.63, 4,728.64 and 961.71

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Solution

The fourth proportional to 3,153.63, 4,728.64 and 961.71 is: 1,442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.63 : 4,728.64 = 961.71 : x
  2. Step 2: Convert to fraction form
    3,153.63/4,728.64 = 961.71/x
  3. Step 3: Cross multiply
    3,153.63x = 4,728.64 × 961.71
  4. Step 4: Simplify right side
    3,153.63x = 4,547,580.37
  5. Step 5: Solve for x
    x = 4,547,580.37/3,153.63
  6. Step 6: Final answer
    x = 1,442.01

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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.