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Finding the Fourth Proportional to 31,249, 46,880.66 and 9,064.16

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Solution

The fourth proportional to 31,249, 46,880.66 and 9,064.16 is: 13,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,249 : 46,880.66 = 9,064.16 : x
  2. Step 2: Convert to fraction form
    31,249/46,880.66 = 9,064.16/x
  3. Step 3: Cross multiply
    31,249x = 46,880.66 × 9,064.16
  4. Step 4: Simplify right side
    31,249x = 424,933,803.15
  5. Step 5: Solve for x
    x = 424,933,803.15/31,249
  6. Step 6: Final answer
    x = 13,598.32

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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.