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Finding the Fourth Proportional to 4,607.96, 6,914.88 and 4,590.95

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Solution

The fourth proportional to 4,607.96, 6,914.88 and 4,590.95 is: 6,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.96 : 6,914.88 = 4,590.95 : x
  2. Step 2: Convert to fraction form
    4,607.96/6,914.88 = 4,590.95/x
  3. Step 3: Cross multiply
    4,607.96x = 6,914.88 × 4,590.95
  4. Step 4: Simplify right side
    4,607.96x = 31,745,833.76
  5. Step 5: Solve for x
    x = 31,745,833.76/4,607.96
  6. Step 6: Final answer
    x = 6,889.35

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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.