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Finding the Fourth Proportional to 31,298.04, 46,948.28 and 7,925.09

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Solution

The fourth proportional to 31,298.04, 46,948.28 and 7,925.09 is: 11,887.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298.04 : 46,948.28 = 7,925.09 : x
  2. Step 2: Convert to fraction form
    31,298.04/46,948.28 = 7,925.09/x
  3. Step 3: Cross multiply
    31,298.04x = 46,948.28 × 7,925.09
  4. Step 4: Simplify right side
    31,298.04x = 372,069,069.98
  5. Step 5: Solve for x
    x = 372,069,069.98/31,298.04
  6. Step 6: Final answer
    x = 11,887.94

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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.