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Finding the Fourth Proportional to 7,810.96, 10,774.71 and 4,824.67

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Solution

The fourth proportional to 7,810.96, 10,774.71 and 4,824.67 is: 6,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.96 : 10,774.71 = 4,824.67 : x
  2. Step 2: Convert to fraction form
    7,810.96/10,774.71 = 4,824.67/x
  3. Step 3: Cross multiply
    7,810.96x = 10,774.71 × 4,824.67
  4. Step 4: Simplify right side
    7,810.96x = 51,984,420.10
  5. Step 5: Solve for x
    x = 51,984,420.10/7,810.96
  6. Step 6: Final answer
    x = 6,655.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.