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Finding the Fourth Proportional to 4,602.96, 6,870.96 and 4,019.76

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Solution

The fourth proportional to 4,602.96, 6,870.96 and 4,019.76 is: 6,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.96 : 6,870.96 = 4,019.76 : x
  2. Step 2: Convert to fraction form
    4,602.96/6,870.96 = 4,019.76/x
  3. Step 3: Cross multiply
    4,602.96x = 6,870.96 × 4,019.76
  4. Step 4: Simplify right side
    4,602.96x = 27,619,610.17
  5. Step 5: Solve for x
    x = 27,619,610.17/4,602.96
  6. Step 6: Final answer
    x = 6,000.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.