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Finding the Fourth Proportional to 10,530.26, 14,530.08 and 6,053.16

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Solution

The fourth proportional to 10,530.26, 14,530.08 and 6,053.16 is: 8,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.26 : 14,530.08 = 6,053.16 : x
  2. Step 2: Convert to fraction form
    10,530.26/14,530.08 = 6,053.16/x
  3. Step 3: Cross multiply
    10,530.26x = 14,530.08 × 6,053.16
  4. Step 4: Simplify right side
    10,530.26x = 87,952,899.05
  5. Step 5: Solve for x
    x = 87,952,899.05/10,530.26
  6. Step 6: Final answer
    x = 8,352.40

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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.