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Finding the Fourth Proportional to 9,530.59, 13,152.23 and 5,804.59

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Solution

The fourth proportional to 9,530.59, 13,152.23 and 5,804.59 is: 8,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.59 : 13,152.23 = 5,804.59 : x
  2. Step 2: Convert to fraction form
    9,530.59/13,152.23 = 5,804.59/x
  3. Step 3: Cross multiply
    9,530.59x = 13,152.23 × 5,804.59
  4. Step 4: Simplify right side
    9,530.59x = 76,343,302.74
  5. Step 5: Solve for x
    x = 76,343,302.74/9,530.59
  6. Step 6: Final answer
    x = 8,010.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.