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Finding the Fourth Proportional to 4,702.22, 7,056.57 and 1,624.22

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Solution

The fourth proportional to 4,702.22, 7,056.57 and 1,624.22 is: 2,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.22 : 7,056.57 = 1,624.22 : x
  2. Step 2: Convert to fraction form
    4,702.22/7,056.57 = 1,624.22/x
  3. Step 3: Cross multiply
    4,702.22x = 7,056.57 × 1,624.22
  4. Step 4: Simplify right side
    4,702.22x = 11,461,419.40
  5. Step 5: Solve for x
    x = 11,461,419.40/4,702.22
  6. Step 6: Final answer
    x = 2,437.45

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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.