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Finding the Fourth Proportional to 4,547, 6,273.06 and 2,867.78

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Solution

The fourth proportional to 4,547, 6,273.06 and 2,867.78 is: 3,956.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547 : 6,273.06 = 2,867.78 : x
  2. Step 2: Convert to fraction form
    4,547/6,273.06 = 2,867.78/x
  3. Step 3: Cross multiply
    4,547x = 6,273.06 × 2,867.78
  4. Step 4: Simplify right side
    4,547x = 17,989,756.01
  5. Step 5: Solve for x
    x = 17,989,756.01/4,547
  6. Step 6: Final answer
    x = 3,956.40

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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.