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Finding the Fourth Proportional to 4,609.74, 6,916.23 and 1,688.34

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Solution

The fourth proportional to 4,609.74, 6,916.23 and 1,688.34 is: 2,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.74 : 6,916.23 = 1,688.34 : x
  2. Step 2: Convert to fraction form
    4,609.74/6,916.23 = 1,688.34/x
  3. Step 3: Cross multiply
    4,609.74x = 6,916.23 × 1,688.34
  4. Step 4: Simplify right side
    4,609.74x = 11,676,947.76
  5. Step 5: Solve for x
    x = 11,676,947.76/4,609.74
  6. Step 6: Final answer
    x = 2,533.10

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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.