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Finding the Fourth Proportional to 6,541.32, 9,030.74 and 5,210.76

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Solution

The fourth proportional to 6,541.32, 9,030.74 and 5,210.76 is: 7,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.32 : 9,030.74 = 5,210.76 : x
  2. Step 2: Convert to fraction form
    6,541.32/9,030.74 = 5,210.76/x
  3. Step 3: Cross multiply
    6,541.32x = 9,030.74 × 5,210.76
  4. Step 4: Simplify right side
    6,541.32x = 47,057,018.76
  5. Step 5: Solve for x
    x = 47,057,018.76/6,541.32
  6. Step 6: Final answer
    x = 7,193.81

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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.