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Finding the Fourth Proportional to 6,562.50, 9,056.25 and 4,206.02

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Solution

The fourth proportional to 6,562.50, 9,056.25 and 4,206.02 is: 5,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.50 : 9,056.25 = 4,206.02 : x
  2. Step 2: Convert to fraction form
    6,562.50/9,056.25 = 4,206.02/x
  3. Step 3: Cross multiply
    6,562.50x = 9,056.25 × 4,206.02
  4. Step 4: Simplify right side
    6,562.50x = 38,090,723.34
  5. Step 5: Solve for x
    x = 38,090,723.34/6,562.50
  6. Step 6: Final answer
    x = 5,804.30

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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.