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Finding the Fourth Proportional to 4,966.12, 7,411.45 and 4,765.19

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Solution

The fourth proportional to 4,966.12, 7,411.45 and 4,765.19 is: 7,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.12 : 7,411.45 = 4,765.19 : x
  2. Step 2: Convert to fraction form
    4,966.12/7,411.45 = 4,765.19/x
  3. Step 3: Cross multiply
    4,966.12x = 7,411.45 × 4,765.19
  4. Step 4: Simplify right side
    4,966.12x = 35,316,967.43
  5. Step 5: Solve for x
    x = 35,316,967.43/4,966.12
  6. Step 6: Final answer
    x = 7,111.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.