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Finding the Fourth Proportional to 5,303.25, 7,954.88 and 1,655.25

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Solution

The fourth proportional to 5,303.25, 7,954.88 and 1,655.25 is: 2,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.25 : 7,954.88 = 1,655.25 : x
  2. Step 2: Convert to fraction form
    5,303.25/7,954.88 = 1,655.25/x
  3. Step 3: Cross multiply
    5,303.25x = 7,954.88 × 1,655.25
  4. Step 4: Simplify right side
    5,303.25x = 13,167,315.12
  5. Step 5: Solve for x
    x = 13,167,315.12/5,303.25
  6. Step 6: Final answer
    x = 2,482.88

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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.