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Finding the Fourth Proportional to 4,973.61, 7,458.88 and 1,641.24

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Solution

The fourth proportional to 4,973.61, 7,458.88 and 1,641.24 is: 2,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.61 : 7,458.88 = 1,641.24 : x
  2. Step 2: Convert to fraction form
    4,973.61/7,458.88 = 1,641.24/x
  3. Step 3: Cross multiply
    4,973.61x = 7,458.88 × 1,641.24
  4. Step 4: Simplify right side
    4,973.61x = 12,241,812.21
  5. Step 5: Solve for x
    x = 12,241,812.21/4,973.61
  6. Step 6: Final answer
    x = 2,461.36

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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.