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Finding the Fourth Proportional to 4,973.63, 7,460.63 and 1,854.42

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Solution

The fourth proportional to 4,973.63, 7,460.63 and 1,854.42 is: 2,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.63 : 7,460.63 = 1,854.42 : x
  2. Step 2: Convert to fraction form
    4,973.63/7,460.63 = 1,854.42/x
  3. Step 3: Cross multiply
    4,973.63x = 7,460.63 × 1,854.42
  4. Step 4: Simplify right side
    4,973.63x = 13,835,132.21
  5. Step 5: Solve for x
    x = 13,835,132.21/4,973.63
  6. Step 6: Final answer
    x = 2,781.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.