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Finding the Fourth Proportional to 30,801.67, 46,210.71 and 9,742.10

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Solution

The fourth proportional to 30,801.67, 46,210.71 and 9,742.10 is: 14,615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,801.67 : 46,210.71 = 9,742.10 : x
  2. Step 2: Convert to fraction form
    30,801.67/46,210.71 = 9,742.10/x
  3. Step 3: Cross multiply
    30,801.67x = 46,210.71 × 9,742.10
  4. Step 4: Simplify right side
    30,801.67x = 450,189,276.21
  5. Step 5: Solve for x
    x = 450,189,276.21/30,801.67
  6. Step 6: Final answer
    x = 14,615.74

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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.