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Finding the Fourth Proportional to 9,762.30, 14,643.45 and 4,835.40

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Solution

The fourth proportional to 9,762.30, 14,643.45 and 4,835.40 is: 7,253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.30 : 14,643.45 = 4,835.40 : x
  2. Step 2: Convert to fraction form
    9,762.30/14,643.45 = 4,835.40/x
  3. Step 3: Cross multiply
    9,762.30x = 14,643.45 × 4,835.40
  4. Step 4: Simplify right side
    9,762.30x = 70,806,938.13
  5. Step 5: Solve for x
    x = 70,806,938.13/9,762.30
  6. Step 6: Final answer
    x = 7,253.10

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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.