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Finding the Fourth Proportional to 4,973.55, 7,460.24 and 1,275.74

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Solution

The fourth proportional to 4,973.55, 7,460.24 and 1,275.74 is: 1,913.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.55 : 7,460.24 = 1,275.74 : x
  2. Step 2: Convert to fraction form
    4,973.55/7,460.24 = 1,275.74/x
  3. Step 3: Cross multiply
    4,973.55x = 7,460.24 × 1,275.74
  4. Step 4: Simplify right side
    4,973.55x = 9,517,282.90
  5. Step 5: Solve for x
    x = 9,517,282.90/4,973.55
  6. Step 6: Final answer
    x = 1,913.58

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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.