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Finding the Fourth Proportional to 4,554.74, 6,834.82 and 2,364.24

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Solution

The fourth proportional to 4,554.74, 6,834.82 and 2,364.24 is: 3,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554.74 : 6,834.82 = 2,364.24 : x
  2. Step 2: Convert to fraction form
    4,554.74/6,834.82 = 2,364.24/x
  3. Step 3: Cross multiply
    4,554.74x = 6,834.82 × 2,364.24
  4. Step 4: Simplify right side
    4,554.74x = 16,159,154.84
  5. Step 5: Solve for x
    x = 16,159,154.84/4,554.74
  6. Step 6: Final answer
    x = 3,547.77

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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.