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Finding the Fourth Proportional to 19,457.60, 29,200.80 and 7,779.20

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Solution

The fourth proportional to 19,457.60, 29,200.80 and 7,779.20 is: 11,674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,457.60 : 29,200.80 = 7,779.20 : x
  2. Step 2: Convert to fraction form
    19,457.60/29,200.80 = 7,779.20/x
  3. Step 3: Cross multiply
    19,457.60x = 29,200.80 × 7,779.20
  4. Step 4: Simplify right side
    19,457.60x = 227,158,863.36
  5. Step 5: Solve for x
    x = 227,158,863.36/19,457.60
  6. Step 6: Final answer
    x = 11,674.56

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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.