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Finding the Fourth Proportional to 10,482.92, 14,466.34 and 5,946.46

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Solution

The fourth proportional to 10,482.92, 14,466.34 and 5,946.46 is: 8,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.92 : 14,466.34 = 5,946.46 : x
  2. Step 2: Convert to fraction form
    10,482.92/14,466.34 = 5,946.46/x
  3. Step 3: Cross multiply
    10,482.92x = 14,466.34 × 5,946.46
  4. Step 4: Simplify right side
    10,482.92x = 86,023,461.12
  5. Step 5: Solve for x
    x = 86,023,461.12/10,482.92
  6. Step 6: Final answer
    x = 8,206.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.