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Finding the Fourth Proportional to 6,801.62, 10,210.68 and 6,457.16

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Solution

The fourth proportional to 6,801.62, 10,210.68 and 6,457.16 is: 9,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.62 : 10,210.68 = 6,457.16 : x
  2. Step 2: Convert to fraction form
    6,801.62/10,210.68 = 6,457.16/x
  3. Step 3: Cross multiply
    6,801.62x = 10,210.68 × 6,457.16
  4. Step 4: Simplify right side
    6,801.62x = 65,931,994.47
  5. Step 5: Solve for x
    x = 65,931,994.47/6,801.62
  6. Step 6: Final answer
    x = 9,693.57

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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.