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Finding the Fourth Proportional to 4,602.89, 6,904.56 and 1,316.47

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Solution

The fourth proportional to 4,602.89, 6,904.56 and 1,316.47 is: 1,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.89 : 6,904.56 = 1,316.47 : x
  2. Step 2: Convert to fraction form
    4,602.89/6,904.56 = 1,316.47/x
  3. Step 3: Cross multiply
    4,602.89x = 6,904.56 × 1,316.47
  4. Step 4: Simplify right side
    4,602.89x = 9,089,628.84
  5. Step 5: Solve for x
    x = 9,089,628.84/4,602.89
  6. Step 6: Final answer
    x = 1,974.77

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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.