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Finding the Fourth Proportional to 10,000.60, 14,979.30 and 6,501.40

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Solution

The fourth proportional to 10,000.60, 14,979.30 and 6,501.40 is: 9,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.60 : 14,979.30 = 6,501.40 : x
  2. Step 2: Convert to fraction form
    10,000.60/14,979.30 = 6,501.40/x
  3. Step 3: Cross multiply
    10,000.60x = 14,979.30 × 6,501.40
  4. Step 4: Simplify right side
    10,000.60x = 97,386,421.02
  5. Step 5: Solve for x
    x = 97,386,421.02/10,000.60
  6. Step 6: Final answer
    x = 9,738.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.