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Finding the Fourth Proportional to 4,999.64, 6,899.76 and 2,875.14

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Solution

The fourth proportional to 4,999.64, 6,899.76 and 2,875.14 is: 3,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.64 : 6,899.76 = 2,875.14 : x
  2. Step 2: Convert to fraction form
    4,999.64/6,899.76 = 2,875.14/x
  3. Step 3: Cross multiply
    4,999.64x = 6,899.76 × 2,875.14
  4. Step 4: Simplify right side
    4,999.64x = 19,837,775.97
  5. Step 5: Solve for x
    x = 19,837,775.97/4,999.64
  6. Step 6: Final answer
    x = 3,967.84

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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.