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Finding the Fourth Proportional to 14,587.60, 21,886.80 and 5,828.80

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Solution

The fourth proportional to 14,587.60, 21,886.80 and 5,828.80 is: 8,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.60 : 21,886.80 = 5,828.80 : x
  2. Step 2: Convert to fraction form
    14,587.60/21,886.80 = 5,828.80/x
  3. Step 3: Cross multiply
    14,587.60x = 21,886.80 × 5,828.80
  4. Step 4: Simplify right side
    14,587.60x = 127,573,779.84
  5. Step 5: Solve for x
    x = 127,573,779.84/14,587.60
  6. Step 6: Final answer
    x = 8,745.36

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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.