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Finding the Fourth Proportional to 4,866.34, 6,718.24 and 2,978.40

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Solution

The fourth proportional to 4,866.34, 6,718.24 and 2,978.40 is: 4,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.34 : 6,718.24 = 2,978.40 : x
  2. Step 2: Convert to fraction form
    4,866.34/6,718.24 = 2,978.40/x
  3. Step 3: Cross multiply
    4,866.34x = 6,718.24 × 2,978.40
  4. Step 4: Simplify right side
    4,866.34x = 20,009,606.02
  5. Step 5: Solve for x
    x = 20,009,606.02/4,866.34
  6. Step 6: Final answer
    x = 4,111.84

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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.