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Finding the Fourth Proportional to 4,666.50, 6,999.78 and 1,746.18

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Solution

The fourth proportional to 4,666.50, 6,999.78 and 1,746.18 is: 2,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.50 : 6,999.78 = 1,746.18 : x
  2. Step 2: Convert to fraction form
    4,666.50/6,999.78 = 1,746.18/x
  3. Step 3: Cross multiply
    4,666.50x = 6,999.78 × 1,746.18
  4. Step 4: Simplify right side
    4,666.50x = 12,222,875.84
  5. Step 5: Solve for x
    x = 12,222,875.84/4,666.50
  6. Step 6: Final answer
    x = 2,619.28

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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.