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Finding the Fourth Proportional to 9,985.60, 14,978.40 and 6,875.20

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Solution

The fourth proportional to 9,985.60, 14,978.40 and 6,875.20 is: 10,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.60 : 14,978.40 = 6,875.20 : x
  2. Step 2: Convert to fraction form
    9,985.60/14,978.40 = 6,875.20/x
  3. Step 3: Cross multiply
    9,985.60x = 14,978.40 × 6,875.20
  4. Step 4: Simplify right side
    9,985.60x = 102,979,495.68
  5. Step 5: Solve for x
    x = 102,979,495.68/9,985.60
  6. Step 6: Final answer
    x = 10,312.80

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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.