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Finding the Fourth Proportional to 16,457.92, 24,686.16 and 4,770.88

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Solution

The fourth proportional to 16,457.92, 24,686.16 and 4,770.88 is: 7,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.92 : 24,686.16 = 4,770.88 : x
  2. Step 2: Convert to fraction form
    16,457.92/24,686.16 = 4,770.88/x
  3. Step 3: Cross multiply
    16,457.92x = 24,686.16 × 4,770.88
  4. Step 4: Simplify right side
    16,457.92x = 117,774,707.02
  5. Step 5: Solve for x
    x = 117,774,707.02/16,457.92
  6. Step 6: Final answer
    x = 7,156.11

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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.