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Finding the Fourth Proportional to 4,693.84, 6,477.48 and 2,805.76

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Solution

The fourth proportional to 4,693.84, 6,477.48 and 2,805.76 is: 3,871.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.84 : 6,477.48 = 2,805.76 : x
  2. Step 2: Convert to fraction form
    4,693.84/6,477.48 = 2,805.76/x
  3. Step 3: Cross multiply
    4,693.84x = 6,477.48 × 2,805.76
  4. Step 4: Simplify right side
    4,693.84x = 18,174,254.28
  5. Step 5: Solve for x
    x = 18,174,254.28/4,693.84
  6. Step 6: Final answer
    x = 3,871.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.