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Finding the Fourth Proportional to 3,285.01, 4,927.47 and 945.07

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Solution

The fourth proportional to 3,285.01, 4,927.47 and 945.07 is: 1,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.01 : 4,927.47 = 945.07 : x
  2. Step 2: Convert to fraction form
    3,285.01/4,927.47 = 945.07/x
  3. Step 3: Cross multiply
    3,285.01x = 4,927.47 × 945.07
  4. Step 4: Simplify right side
    3,285.01x = 4,656,804.07
  5. Step 5: Solve for x
    x = 4,656,804.07/3,285.01
  6. Step 6: Final answer
    x = 1,417.59

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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.