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Finding the Fourth Proportional to 10,002.60, 14,975.10 and 9,714.60

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Solution

The fourth proportional to 10,002.60, 14,975.10 and 9,714.60 is: 14,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.60 : 14,975.10 = 9,714.60 : x
  2. Step 2: Convert to fraction form
    10,002.60/14,975.10 = 9,714.60/x
  3. Step 3: Cross multiply
    10,002.60x = 14,975.10 × 9,714.60
  4. Step 4: Simplify right side
    10,002.60x = 145,477,106.46
  5. Step 5: Solve for x
    x = 145,477,106.46/10,002.60
  6. Step 6: Final answer
    x = 14,543.93

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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.