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Finding the Fourth Proportional to 10,688.40, 14,934.60 and 10,688.40

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Solution

The fourth proportional to 10,688.40, 14,934.60 and 10,688.40 is: 14,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.40 : 14,934.60 = 10,688.40 : x
  2. Step 2: Convert to fraction form
    10,688.40/14,934.60 = 10,688.40/x
  3. Step 3: Cross multiply
    10,688.40x = 14,934.60 × 10,688.40
  4. Step 4: Simplify right side
    10,688.40x = 159,626,978.64
  5. Step 5: Solve for x
    x = 159,626,978.64/10,688.40
  6. Step 6: Final answer
    x = 14,934.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.