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Finding the Fourth Proportional to 10,042.25, 15,068.63 and 7,291.64

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Solution

The fourth proportional to 10,042.25, 15,068.63 and 7,291.64 is: 10,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.25 : 15,068.63 = 7,291.64 : x
  2. Step 2: Convert to fraction form
    10,042.25/15,068.63 = 7,291.64/x
  3. Step 3: Cross multiply
    10,042.25x = 15,068.63 × 7,291.64
  4. Step 4: Simplify right side
    10,042.25x = 109,875,044.70
  5. Step 5: Solve for x
    x = 109,875,044.70/10,042.25
  6. Step 6: Final answer
    x = 10,941.28

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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.