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Finding the Fourth Proportional to 8,530.93, 11,779.95 and 5,349.57

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Solution

The fourth proportional to 8,530.93, 11,779.95 and 5,349.57 is: 7,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.93 : 11,779.95 = 5,349.57 : x
  2. Step 2: Convert to fraction form
    8,530.93/11,779.95 = 5,349.57/x
  3. Step 3: Cross multiply
    8,530.93x = 11,779.95 × 5,349.57
  4. Step 4: Simplify right side
    8,530.93x = 63,017,683.20
  5. Step 5: Solve for x
    x = 63,017,683.20/8,530.93
  6. Step 6: Final answer
    x = 7,386.97

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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.