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Finding the Fourth Proportional to 10,493.76, 15,750.24 and 6,605.12

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Solution

The fourth proportional to 10,493.76, 15,750.24 and 6,605.12 is: 9,913.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.76 : 15,750.24 = 6,605.12 : x
  2. Step 2: Convert to fraction form
    10,493.76/15,750.24 = 6,605.12/x
  3. Step 3: Cross multiply
    10,493.76x = 15,750.24 × 6,605.12
  4. Step 4: Simplify right side
    10,493.76x = 104,032,225.23
  5. Step 5: Solve for x
    x = 104,032,225.23/10,493.76
  6. Step 6: Final answer
    x = 9,913.72

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1.5x scale

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.