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Finding the Fourth Proportional to 19,509.60, 29,264.40 and 9,655.80

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Solution

The fourth proportional to 19,509.60, 29,264.40 and 9,655.80 is: 14,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.60 : 29,264.40 = 9,655.80 : x
  2. Step 2: Convert to fraction form
    19,509.60/29,264.40 = 9,655.80/x
  3. Step 3: Cross multiply
    19,509.60x = 29,264.40 × 9,655.80
  4. Step 4: Simplify right side
    19,509.60x = 282,571,193.52
  5. Step 5: Solve for x
    x = 282,571,193.52/19,509.60
  6. Step 6: Final answer
    x = 14,483.70

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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.