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Finding the Fourth Proportional to 10,352.40, 15,534 and 9,794.76

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Solution

The fourth proportional to 10,352.40, 15,534 and 9,794.76 is: 14,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.40 : 15,534 = 9,794.76 : x
  2. Step 2: Convert to fraction form
    10,352.40/15,534 = 9,794.76/x
  3. Step 3: Cross multiply
    10,352.40x = 15,534 × 9,794.76
  4. Step 4: Simplify right side
    10,352.40x = 152,151,801.84
  5. Step 5: Solve for x
    x = 152,151,801.84/10,352.40
  6. Step 6: Final answer
    x = 14,697.25

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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.