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Finding the Fourth Proportional to 9,502.84, 14,254.26 and 4,307.50

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Solution

The fourth proportional to 9,502.84, 14,254.26 and 4,307.50 is: 6,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.84 : 14,254.26 = 4,307.50 : x
  2. Step 2: Convert to fraction form
    9,502.84/14,254.26 = 4,307.50/x
  3. Step 3: Cross multiply
    9,502.84x = 14,254.26 × 4,307.50
  4. Step 4: Simplify right side
    9,502.84x = 61,400,224.95
  5. Step 5: Solve for x
    x = 61,400,224.95/9,502.84
  6. Step 6: Final answer
    x = 6,461.25

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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.