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Finding the Fourth Proportional to 6,507.63, 9,746.85 and 5,042.34

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Solution

The fourth proportional to 6,507.63, 9,746.85 and 5,042.34 is: 7,552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.63 : 9,746.85 = 5,042.34 : x
  2. Step 2: Convert to fraction form
    6,507.63/9,746.85 = 5,042.34/x
  3. Step 3: Cross multiply
    6,507.63x = 9,746.85 × 5,042.34
  4. Step 4: Simplify right side
    6,507.63x = 49,146,931.63
  5. Step 5: Solve for x
    x = 49,146,931.63/6,507.63
  6. Step 6: Final answer
    x = 7,552.20

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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.