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Finding the Fourth Proportional to 4,646.89, 6,971.52 and 1,315.14

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Solution

The fourth proportional to 4,646.89, 6,971.52 and 1,315.14 is: 1,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.89 : 6,971.52 = 1,315.14 : x
  2. Step 2: Convert to fraction form
    4,646.89/6,971.52 = 1,315.14/x
  3. Step 3: Cross multiply
    4,646.89x = 6,971.52 × 1,315.14
  4. Step 4: Simplify right side
    4,646.89x = 9,168,496.20
  5. Step 5: Solve for x
    x = 9,168,496.20/4,646.89
  6. Step 6: Final answer
    x = 1,973.04

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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.