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Finding the Fourth Proportional to 3,165.71, 4,746.20 and 973.17

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Solution

The fourth proportional to 3,165.71, 4,746.20 and 973.17 is: 1,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.71 : 4,746.20 = 973.17 : x
  2. Step 2: Convert to fraction form
    3,165.71/4,746.20 = 973.17/x
  3. Step 3: Cross multiply
    3,165.71x = 4,746.20 × 973.17
  4. Step 4: Simplify right side
    3,165.71x = 4,618,854.59
  5. Step 5: Solve for x
    x = 4,618,854.59/3,165.71
  6. Step 6: Final answer
    x = 1,459.03

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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.