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Finding the Fourth Proportional to 6,457.74, 8,915.96 and 4,962.90

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Solution

The fourth proportional to 6,457.74, 8,915.96 and 4,962.90 is: 6,852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.74 : 8,915.96 = 4,962.90 : x
  2. Step 2: Convert to fraction form
    6,457.74/8,915.96 = 4,962.90/x
  3. Step 3: Cross multiply
    6,457.74x = 8,915.96 × 4,962.90
  4. Step 4: Simplify right side
    6,457.74x = 44,249,017.88
  5. Step 5: Solve for x
    x = 44,249,017.88/6,457.74
  6. Step 6: Final answer
    x = 6,852.09

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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.