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Finding the Fourth Proportional to 10,329.60, 15,526.80 and 9,746.40

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Solution

The fourth proportional to 10,329.60, 15,526.80 and 9,746.40 is: 14,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.60 : 15,526.80 = 9,746.40 : x
  2. Step 2: Convert to fraction form
    10,329.60/15,526.80 = 9,746.40/x
  3. Step 3: Cross multiply
    10,329.60x = 15,526.80 × 9,746.40
  4. Step 4: Simplify right side
    10,329.60x = 151,330,403.52
  5. Step 5: Solve for x
    x = 151,330,403.52/10,329.60
  6. Step 6: Final answer
    x = 14,650.17

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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.