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Finding the Fourth Proportional to 7,430.99, 10,252.72 and 4,597

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Solution

The fourth proportional to 7,430.99, 10,252.72 and 4,597 is: 6,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.99 : 10,252.72 = 4,597 : x
  2. Step 2: Convert to fraction form
    7,430.99/10,252.72 = 4,597/x
  3. Step 3: Cross multiply
    7,430.99x = 10,252.72 × 4,597
  4. Step 4: Simplify right side
    7,430.99x = 47,131,753.84
  5. Step 5: Solve for x
    x = 47,131,753.84/7,430.99
  6. Step 6: Final answer
    x = 6,342.59

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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.