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Finding the Fourth Proportional to 14,587.60, 21,881.40 and 10,116.40

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Solution

The fourth proportional to 14,587.60, 21,881.40 and 10,116.40 is: 15,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.60 : 21,881.40 = 10,116.40 : x
  2. Step 2: Convert to fraction form
    14,587.60/21,881.40 = 10,116.40/x
  3. Step 3: Cross multiply
    14,587.60x = 21,881.40 × 10,116.40
  4. Step 4: Simplify right side
    14,587.60x = 221,360,994.96
  5. Step 5: Solve for x
    x = 221,360,994.96/14,587.60
  6. Step 6: Final answer
    x = 15,174.60

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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.