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Finding the Fourth Proportional to 4,752.56, 6,557 and 2,656.28

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Solution

The fourth proportional to 4,752.56, 6,557 and 2,656.28 is: 3,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.56 : 6,557 = 2,656.28 : x
  2. Step 2: Convert to fraction form
    4,752.56/6,557 = 2,656.28/x
  3. Step 3: Cross multiply
    4,752.56x = 6,557 × 2,656.28
  4. Step 4: Simplify right side
    4,752.56x = 17,417,227.96
  5. Step 5: Solve for x
    x = 17,417,227.96/4,752.56
  6. Step 6: Final answer
    x = 3,664.81

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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.