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Finding the Fourth Proportional to 4,973.28, 7,458.64 and 1,509.60

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Solution

The fourth proportional to 4,973.28, 7,458.64 and 1,509.60 is: 2,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.28 : 7,458.64 = 1,509.60 : x
  2. Step 2: Convert to fraction form
    4,973.28/7,458.64 = 1,509.60/x
  3. Step 3: Cross multiply
    4,973.28x = 7,458.64 × 1,509.60
  4. Step 4: Simplify right side
    4,973.28x = 11,259,562.94
  5. Step 5: Solve for x
    x = 11,259,562.94/4,973.28
  6. Step 6: Final answer
    x = 2,264.01

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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.