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Finding the Fourth Proportional to 10,497.40, 15,746.10 and 9,768.40

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Solution

The fourth proportional to 10,497.40, 15,746.10 and 9,768.40 is: 14,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.40 : 15,746.10 = 9,768.40 : x
  2. Step 2: Convert to fraction form
    10,497.40/15,746.10 = 9,768.40/x
  3. Step 3: Cross multiply
    10,497.40x = 15,746.10 × 9,768.40
  4. Step 4: Simplify right side
    10,497.40x = 153,814,203.24
  5. Step 5: Solve for x
    x = 153,814,203.24/10,497.40
  6. Step 6: Final answer
    x = 14,652.60

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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.