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Finding the Fourth Proportional to 4,596.48, 6,894.18 and 1,309.50

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Solution

The fourth proportional to 4,596.48, 6,894.18 and 1,309.50 is: 1,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.48 : 6,894.18 = 1,309.50 : x
  2. Step 2: Convert to fraction form
    4,596.48/6,894.18 = 1,309.50/x
  3. Step 3: Cross multiply
    4,596.48x = 6,894.18 × 1,309.50
  4. Step 4: Simplify right side
    4,596.48x = 9,027,928.71
  5. Step 5: Solve for x
    x = 9,027,928.71/4,596.48
  6. Step 6: Final answer
    x = 1,964.10

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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.