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Finding the Fourth Proportional to 6,483.57, 9,663.68 and 6,114.48

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Solution

The fourth proportional to 6,483.57, 9,663.68 and 6,114.48 is: 9,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.57 : 9,663.68 = 6,114.48 : x
  2. Step 2: Convert to fraction form
    6,483.57/9,663.68 = 6,114.48/x
  3. Step 3: Cross multiply
    6,483.57x = 9,663.68 × 6,114.48
  4. Step 4: Simplify right side
    6,483.57x = 59,088,347.51
  5. Step 5: Solve for x
    x = 59,088,347.51/6,483.57
  6. Step 6: Final answer
    x = 9,113.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.