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Finding the Fourth Proportional to 7,883.68, 10,880.12 and 4,347.60

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Solution

The fourth proportional to 7,883.68, 10,880.12 and 4,347.60 is: 6,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.68 : 10,880.12 = 4,347.60 : x
  2. Step 2: Convert to fraction form
    7,883.68/10,880.12 = 4,347.60/x
  3. Step 3: Cross multiply
    7,883.68x = 10,880.12 × 4,347.60
  4. Step 4: Simplify right side
    7,883.68x = 47,302,409.71
  5. Step 5: Solve for x
    x = 47,302,409.71/7,883.68
  6. Step 6: Final answer
    x = 6,000.04

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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.