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Finding the Fourth Proportional to 3,560.09, 4,913 and 1,966.74

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Solution

The fourth proportional to 3,560.09, 4,913 and 1,966.74 is: 2,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,560.09 : 4,913 = 1,966.74 : x
  2. Step 2: Convert to fraction form
    3,560.09/4,913 = 1,966.74/x
  3. Step 3: Cross multiply
    3,560.09x = 4,913 × 1,966.74
  4. Step 4: Simplify right side
    3,560.09x = 9,662,569.06
  5. Step 5: Solve for x
    x = 9,662,569.06/3,560.09
  6. Step 6: Final answer
    x = 2,714.14

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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.