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Finding the Fourth Proportional to 4,547.84, 6,279 and 3,504.56

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Solution

The fourth proportional to 4,547.84, 6,279 and 3,504.56 is: 4,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.84 : 6,279 = 3,504.56 : x
  2. Step 2: Convert to fraction form
    4,547.84/6,279 = 3,504.56/x
  3. Step 3: Cross multiply
    4,547.84x = 6,279 × 3,504.56
  4. Step 4: Simplify right side
    4,547.84x = 22,005,132.24
  5. Step 5: Solve for x
    x = 22,005,132.24/4,547.84
  6. Step 6: Final answer
    x = 4,838.59

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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.