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Finding the Fourth Proportional to 30,543.51, 45,798.60 and 9,193.11

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Solution

The fourth proportional to 30,543.51, 45,798.60 and 9,193.11 is: 13,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.51 : 45,798.60 = 9,193.11 : x
  2. Step 2: Convert to fraction form
    30,543.51/45,798.60 = 9,193.11/x
  3. Step 3: Cross multiply
    30,543.51x = 45,798.60 × 9,193.11
  4. Step 4: Simplify right side
    30,543.51x = 421,031,567.65
  5. Step 5: Solve for x
    x = 421,031,567.65/30,543.51
  6. Step 6: Final answer
    x = 13,784.65

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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.