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Finding the Fourth Proportional to 7,056.63, 9,735 and 4,538.27

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Solution

The fourth proportional to 7,056.63, 9,735 and 4,538.27 is: 6,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.63 : 9,735 = 4,538.27 : x
  2. Step 2: Convert to fraction form
    7,056.63/9,735 = 4,538.27/x
  3. Step 3: Cross multiply
    7,056.63x = 9,735 × 4,538.27
  4. Step 4: Simplify right side
    7,056.63x = 44,180,009.78
  5. Step 5: Solve for x
    x = 44,180,009.78/7,056.63
  6. Step 6: Final answer
    x = 6,260.78

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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.